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Finding the Fourth Proportional to 6,711.61, 9,261.19 and 3,727.06

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Solution

The fourth proportional to 6,711.61, 9,261.19 and 3,727.06 is: 5,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.61 : 9,261.19 = 3,727.06 : x
  2. Step 2: Convert to fraction form
    6,711.61/9,261.19 = 3,727.06/x
  3. Step 3: Cross multiply
    6,711.61x = 9,261.19 × 3,727.06
  4. Step 4: Simplify right side
    6,711.61x = 34,517,023.44
  5. Step 5: Solve for x
    x = 34,517,023.44/6,711.61
  6. Step 6: Final answer
    x = 5,142.88

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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.