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Suppose the four numbers are x, x+1, x+2 and x+3

Then their sum is 4x + 6

so that their mean is (4x+6)/4 = x + 6/4 = x+1.5

So x+1.5 = 9.5 so that x=8 and so the largest number is x+3 = 8+3 = 11.

This answer assumes that the 4 consecutive numbers are in increasing order. If they were four consecutive numbers in decreasing order, they would be x, x-1, x-2 and x-3. In this case x=11 and the fourth number would be 8.

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Q: The mean of 4 consecutive numbers is 9.5 What is the fourth number?
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