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Finding the Fourth Proportional to 10,714.97, 16,056.31 and 9,547.06

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Solution

The fourth proportional to 10,714.97, 16,056.31 and 9,547.06 is: 14,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.97 : 16,056.31 = 9,547.06 : x
  2. Step 2: Convert to fraction form
    10,714.97/16,056.31 = 9,547.06/x
  3. Step 3: Cross multiply
    10,714.97x = 16,056.31 × 9,547.06
  4. Step 4: Simplify right side
    10,714.97x = 153,290,531.08
  5. Step 5: Solve for x
    x = 153,290,531.08/10,714.97
  6. Step 6: Final answer
    x = 14,306.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.