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Finding the Fourth Proportional to 10,459.62, 15,672.71 and 9,397.44

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Solution

The fourth proportional to 10,459.62, 15,672.71 and 9,397.44 is: 14,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.62 : 15,672.71 = 9,397.44 : x
  2. Step 2: Convert to fraction form
    10,459.62/15,672.71 = 9,397.44/x
  3. Step 3: Cross multiply
    10,459.62x = 15,672.71 × 9,397.44
  4. Step 4: Simplify right side
    10,459.62x = 147,283,304.88
  5. Step 5: Solve for x
    x = 147,283,304.88/10,459.62
  6. Step 6: Final answer
    x = 14,081.13

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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.