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Finding the Fourth Proportional to 9,031.56, 12,463.20 and 5,052.66

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Solution

The fourth proportional to 9,031.56, 12,463.20 and 5,052.66 is: 6,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.56 : 12,463.20 = 5,052.66 : x
  2. Step 2: Convert to fraction form
    9,031.56/12,463.20 = 5,052.66/x
  3. Step 3: Cross multiply
    9,031.56x = 12,463.20 × 5,052.66
  4. Step 4: Simplify right side
    9,031.56x = 62,972,312.11
  5. Step 5: Solve for x
    x = 62,972,312.11/9,031.56
  6. Step 6: Final answer
    x = 6,972.47

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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.