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Finding the Fourth Proportional to 9,031.47, 12,463.32 and 5,052.57

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Solution

The fourth proportional to 9,031.47, 12,463.32 and 5,052.57 is: 6,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.47 : 12,463.32 = 5,052.57 : x
  2. Step 2: Convert to fraction form
    9,031.47/12,463.32 = 5,052.57/x
  3. Step 3: Cross multiply
    9,031.47x = 12,463.32 × 5,052.57
  4. Step 4: Simplify right side
    9,031.47x = 62,971,796.73
  5. Step 5: Solve for x
    x = 62,971,796.73/9,031.47
  6. Step 6: Final answer
    x = 6,972.49

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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.