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The ratio compounded of 4:9 the duplicate ratio of 3:4 the triplicate ratio of 2:3 and 9:7 is?
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The ratio compounded of 4:9 the duplicate ratio of 3:4 the triplicate ...


Ratio Analysis:

Given Ratios:

First Ratio:

  • Ratio: 4:9


Duplicate Ratio of 3:4:

  • Original Ratio: 3:4
  • Duplicate Ratio: 2(3):2(4) = 6:8 = 3:4


Triplicate Ratio of 2:3:

  • Original Ratio: 2:3
  • Triplicate Ratio: 3(2):3(3) = 6:9 = 2:3


Fourth Ratio:

  • Ratio: 9:7


Calculating the Compound Ratio:

Steps:

  1. Calculate the compound ratio of the first two ratios: 4 * 3 = 12, 9 * 4 = 36, so ratio is 12:36 = 1:3
  2. Calculate the compound ratio of the triplicate ratio and the fourth ratio: 2 * 9 = 18, 3 * 7 = 21, so ratio is 18:21 = 6:7
  3. Finally, calculate the compound ratio of the two compound ratios: 1 * 6 = 6, 3 * 7 = 21, so the compound ratio is 6:21 = 2:7



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The ratio compounded of 4:9 the duplicate ratio of 3:4 the triplicate ratio of 2:3 and 9:7 is?
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