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Finding the Fourth Proportional to 6,167.60, 9,271.86 and 5,711.04

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Solution

The fourth proportional to 6,167.60, 9,271.86 and 5,711.04 is: 8,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.60 : 9,271.86 = 5,711.04 : x
  2. Step 2: Convert to fraction form
    6,167.60/9,271.86 = 5,711.04/x
  3. Step 3: Cross multiply
    6,167.60x = 9,271.86 × 5,711.04
  4. Step 4: Simplify right side
    6,167.60x = 52,951,963.33
  5. Step 5: Solve for x
    x = 52,951,963.33/6,167.60
  6. Step 6: Final answer
    x = 8,585.51

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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.