Answer: 6 hundredths.
Explanation:
The given number is :

When we look at the given number from the left, we find that :
The place value of 4 = 4 ones [right most digit before decimal]
The place value of 7 is 7 tenths [left most digit after decimal]
The place value of 6 is 6 hundreds [rightmost to the tenth place]
The place value of 9 is 9 thousandths [rightmost to the hundredth place]
Hence, the place value of 6 in the given number
is 6 hundredths.