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Finding the Fourth Proportional to 6,374.32, 9,517.86 and 5,711.92

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Solution

The fourth proportional to 6,374.32, 9,517.86 and 5,711.92 is: 8,528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.32 : 9,517.86 = 5,711.92 : x
  2. Step 2: Convert to fraction form
    6,374.32/9,517.86 = 5,711.92/x
  3. Step 3: Cross multiply
    6,374.32x = 9,517.86 × 5,711.92
  4. Step 4: Simplify right side
    6,374.32x = 54,365,254.89
  5. Step 5: Solve for x
    x = 54,365,254.89/6,374.32
  6. Step 6: Final answer
    x = 8,528.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.