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Finding the Fourth Proportional to 6,473.28, 9,711.27 and 3,143.91

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Solution

The fourth proportional to 6,473.28, 9,711.27 and 3,143.91 is: 4,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.28 : 9,711.27 = 3,143.91 : x
  2. Step 2: Convert to fraction form
    6,473.28/9,711.27 = 3,143.91/x
  3. Step 3: Cross multiply
    6,473.28x = 9,711.27 × 3,143.91
  4. Step 4: Simplify right side
    6,473.28x = 30,531,358.87
  5. Step 5: Solve for x
    x = 30,531,358.87/6,473.28
  6. Step 6: Final answer
    x = 4,716.52

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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.