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Finding the Fourth Proportional to 6,711.42, 9,260.70 and 3,727.20

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Solution

The fourth proportional to 6,711.42, 9,260.70 and 3,727.20 is: 5,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.42 : 9,260.70 = 3,727.20 : x
  2. Step 2: Convert to fraction form
    6,711.42/9,260.70 = 3,727.20/x
  3. Step 3: Cross multiply
    6,711.42x = 9,260.70 × 3,727.20
  4. Step 4: Simplify right side
    6,711.42x = 34,516,481.04
  5. Step 5: Solve for x
    x = 34,516,481.04/6,711.42
  6. Step 6: Final answer
    x = 5,142.95

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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.