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Finding the Fourth Proportional to 9,031.77, 12,463.27 and 5,052.85

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Solution

The fourth proportional to 9,031.77, 12,463.27 and 5,052.85 is: 6,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.77 : 12,463.27 = 5,052.85 : x
  2. Step 2: Convert to fraction form
    9,031.77/12,463.27 = 5,052.85/x
  3. Step 3: Cross multiply
    9,031.77x = 12,463.27 × 5,052.85
  4. Step 4: Simplify right side
    9,031.77x = 62,974,990.03
  5. Step 5: Solve for x
    x = 62,974,990.03/9,031.77
  6. Step 6: Final answer
    x = 6,972.61

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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.