Place Value Challenge: Finding Numbers with Thousands Digit 4 Above 64,000

To solve this problem, let's analyze each step systematically:

• Step 1: Identify the conditions - the number must be greater than 64,000 and have a thousands digit of 4.
• Step 2: Examine the role of the thousands place - The thousands digit refers to the digit appearing in the place value for thousands (fourth position from the right).
• Step 3: Evaluate the condition on the numbers -
  - A valid number must exceed 64,000, thus being at least 64,001.
  - For the thousands digit to be 4, the number format should satisfy the 40,000 to 49,999 restriction in relevant digits.

Next, let's validate the given options:

• Option 1: $63,998$ - This number is less than 64,000.
• Option 2: $84,001$ - This number is greater than 64,000 and the thousands digit is indeed 4.
• Option 3: $75,400$ - While greater than 64,000, the thousands digit is 7, not 4.
• Option 4: $62,949$ - Like option 1, this number is also less than 64,000.

The only number fulfilling all criteria is hence:

The correct solution is $84,001$.