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Finding the Fourth Proportional to 9,902.50, 13,666.62 and 5,711.56

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Solution

The fourth proportional to 9,902.50, 13,666.62 and 5,711.56 is: 7,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.50 : 13,666.62 = 5,711.56 : x
  2. Step 2: Convert to fraction form
    9,902.50/13,666.62 = 5,711.56/x
  3. Step 3: Cross multiply
    9,902.50x = 13,666.62 × 5,711.56
  4. Step 4: Simplify right side
    9,902.50x = 78,057,720.13
  5. Step 5: Solve for x
    x = 78,057,720.13/9,902.50
  6. Step 6: Final answer
    x = 7,882.63

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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.