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Finding the Fourth Proportional to 6,371.77, 9,546.87 and 3,901.43

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Solution

The fourth proportional to 6,371.77, 9,546.87 and 3,901.43 is: 5,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.77 : 9,546.87 = 3,901.43 : x
  2. Step 2: Convert to fraction form
    6,371.77/9,546.87 = 3,901.43/x
  3. Step 3: Cross multiply
    6,371.77x = 9,546.87 × 3,901.43
  4. Step 4: Simplify right side
    6,371.77x = 37,246,472.55
  5. Step 5: Solve for x
    x = 37,246,472.55/6,371.77
  6. Step 6: Final answer
    x = 5,845.54

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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.