We need to compound four different ratios here –
- 4 : 9
- 32 : 42 = 9 : 16
- 23 : 33 = 8 : 27
- 9 : 7
By the definition of the compounded ratios, the final result would be –
4 × 9 × 8 × 9 : 9 × 16 × 27 × 7
Writing it in fractional form –
\(\frac{4 × 9 × 8 × 9}{9 × 16 × 27 × 7}\)
= \(\frac{2}{21}\)
Thus, the required ratio is 2 : 21.
