# THE RATIO COMPOUNDED OF 4:9 THE DUPLICATE RATIO OF 3:4 THE TRIPLICATE RATIO OF 2:3 AND 9:7 IS

Duplicate ratio

$3:4 =(\frac{3}{4})^{2}= \frac{9}{16}$

The triplicate ratio of

$2: 3 =(\frac{2}{3})^{3}= \frac{8}{27}$

Now we have 4 ratios -: 4: 9, 9: 16, 8: 27, and 9: 7

We have to calculate the ratio compounded of all these terms that will be

$\frac{4 \times 9 \times 8 \times 9}{9 \times 16 \times 27 \times 7} = \frac{2}{21}\\$

Hence, the fourth ratios

$\frac{2}{21}$

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