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Finding the Fourth Proportional to 9,882.62, 13,635.74 and 5,902.96

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Solution

The fourth proportional to 9,882.62, 13,635.74 and 5,902.96 is: 8,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.62 : 13,635.74 = 5,902.96 : x
  2. Step 2: Convert to fraction form
    9,882.62/13,635.74 = 5,902.96/x
  3. Step 3: Cross multiply
    9,882.62x = 13,635.74 × 5,902.96
  4. Step 4: Simplify right side
    9,882.62x = 80,491,227.79
  5. Step 5: Solve for x
    x = 80,491,227.79/9,882.62
  6. Step 6: Final answer
    x = 8,144.73

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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.