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Finding the Fourth Proportional to 6,404.88, 9,591.84 and 5,301.12

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Solution

The fourth proportional to 6,404.88, 9,591.84 and 5,301.12 is: 7,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.88 : 9,591.84 = 5,301.12 : x
  2. Step 2: Convert to fraction form
    6,404.88/9,591.84 = 5,301.12/x
  3. Step 3: Cross multiply
    6,404.88x = 9,591.84 × 5,301.12
  4. Step 4: Simplify right side
    6,404.88x = 50,847,494.86
  5. Step 5: Solve for x
    x = 50,847,494.86/6,404.88
  6. Step 6: Final answer
    x = 7,938.87

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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.