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Finding the Fourth Proportional to 6,371.71, 9,558.17 and 2,476.42

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Solution

The fourth proportional to 6,371.71, 9,558.17 and 2,476.42 is: 3,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.71 : 9,558.17 = 2,476.42 : x
  2. Step 2: Convert to fraction form
    6,371.71/9,558.17 = 2,476.42/x
  3. Step 3: Cross multiply
    6,371.71x = 9,558.17 × 2,476.42
  4. Step 4: Simplify right side
    6,371.71x = 23,670,049.54
  5. Step 5: Solve for x
    x = 23,670,049.54/6,371.71
  6. Step 6: Final answer
    x = 3,714.87

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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.