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Finding the Fourth Proportional to 6,565.43, 9,057.61 and 4,011.86

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Solution

The fourth proportional to 6,565.43, 9,057.61 and 4,011.86 is: 5,534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.43 : 9,057.61 = 4,011.86 : x
  2. Step 2: Convert to fraction form
    6,565.43/9,057.61 = 4,011.86/x
  3. Step 3: Cross multiply
    6,565.43x = 9,057.61 × 4,011.86
  4. Step 4: Simplify right side
    6,565.43x = 36,337,863.25
  5. Step 5: Solve for x
    x = 36,337,863.25/6,565.43
  6. Step 6: Final answer
    x = 5,534.73

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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.