Step 1: Understanding the Question:
We are given three words, Expedite, Hasten and Hurry. All three of these words describe the act of doing something quickly or making something move or happen faster than normal. We must pick the option that carries the same core meaning so that it fits naturally in the blank as a fourth word in this list.
Step 2: Key Formula or Approach:
Since this is a synonym based fill in the blank question, the approach is to look at the shared meaning of the given words first, and then go through each option checking whether its dictionary meaning matches that shared idea of speeding something up or moving fast, rather than meaning something opposite or unrelated.
Step 3: Detailed Explanation:
Option (A) Accelerate means to increase the speed of something or to make an event happen sooner than planned. This lines up exactly with the sense of Expedite, Hasten and Hurry, all of which mean to speed something along, so this word slots naturally into the blank.
Option (B) Retard means to slow down, hold back or delay a process. This is the direct opposite of the given words, so it cannot be the answer.
Option (C) Provide means to supply, furnish or give something needed. It has nothing to do with speed or urgency, so it does not fit the pattern of the sentence.
Option (D) Disable means to make a person or thing unable to function or work. This is also unrelated to the idea of speed, so it is not a valid choice here.
Step 4: Final Answer:
Only Accelerate shares the meaning of making something move or happen faster, which is exactly what Expedite, Hasten and Hurry all mean, so it is the word that correctly completes the blank.
\[ \boxed{\text{Accelerate}} \]