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Finding the Fourth Proportional to 8,432.66, 11,631.02 and 6,439.75

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Solution

The fourth proportional to 8,432.66, 11,631.02 and 6,439.75 is: 8,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.66 : 11,631.02 = 6,439.75 : x
  2. Step 2: Convert to fraction form
    8,432.66/11,631.02 = 6,439.75/x
  3. Step 3: Cross multiply
    8,432.66x = 11,631.02 × 6,439.75
  4. Step 4: Simplify right side
    8,432.66x = 74,900,799.77
  5. Step 5: Solve for x
    x = 74,900,799.77/8,432.66
  6. Step 6: Final answer
    x = 8,882.22

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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.