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 if number is divisible by 9, then the sum of the numbers must be divisible by 9.
sum of numbers except * = 4+8+1+6+7+3 = 29
so the sum should be 36.
* = 36-29 = 7

So 7 will be there in place of *. 
The divisibility test for 9 states that the sum of all digits of the number should be divisible by 9.
here 4+8+1+6+7+3=29
the next number divisible by 9 is36.
so the number which goes in the blank place is 36-29=7