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Finding the Fourth Proportional to 6,614.88, 9,922.20 and 5,581.50

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Solution

The fourth proportional to 6,614.88, 9,922.20 and 5,581.50 is: 8,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.88 : 9,922.20 = 5,581.50 : x
  2. Step 2: Convert to fraction form
    6,614.88/9,922.20 = 5,581.50/x
  3. Step 3: Cross multiply
    6,614.88x = 9,922.20 × 5,581.50
  4. Step 4: Simplify right side
    6,614.88x = 55,380,759.30
  5. Step 5: Solve for x
    x = 55,380,759.30/6,614.88
  6. Step 6: Final answer
    x = 8,372.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.