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Finding the Fourth Proportional to 9,031.43, 12,464.07 and 5,052.71

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Solution

The fourth proportional to 9,031.43, 12,464.07 and 5,052.71 is: 6,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.43 : 12,464.07 = 5,052.71 : x
  2. Step 2: Convert to fraction form
    9,031.43/12,464.07 = 5,052.71/x
  3. Step 3: Cross multiply
    9,031.43x = 12,464.07 × 5,052.71
  4. Step 4: Simplify right side
    9,031.43x = 62,977,331.13
  5. Step 5: Solve for x
    x = 62,977,331.13/9,031.43
  6. Step 6: Final answer
    x = 6,973.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.