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Finding the Fourth Proportional to 9,031.68, 12,463.60 and 5,052.76

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Solution

The fourth proportional to 9,031.68, 12,463.60 and 5,052.76 is: 6,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.68 : 12,463.60 = 5,052.76 : x
  2. Step 2: Convert to fraction form
    9,031.68/12,463.60 = 5,052.76/x
  3. Step 3: Cross multiply
    9,031.68x = 12,463.60 × 5,052.76
  4. Step 4: Simplify right side
    9,031.68x = 62,975,579.54
  5. Step 5: Solve for x
    x = 62,975,579.54/9,031.68
  6. Step 6: Final answer
    x = 6,972.74

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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.