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Finding the Fourth Proportional to 6,338.41, 9,508.25 and 2,177.87

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Solution

The fourth proportional to 6,338.41, 9,508.25 and 2,177.87 is: 3,267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.41 : 9,508.25 = 2,177.87 : x
  2. Step 2: Convert to fraction form
    6,338.41/9,508.25 = 2,177.87/x
  3. Step 3: Cross multiply
    6,338.41x = 9,508.25 × 2,177.87
  4. Step 4: Simplify right side
    6,338.41x = 20,707,732.43
  5. Step 5: Solve for x
    x = 20,707,732.43/6,338.41
  6. Step 6: Final answer
    x = 3,267.02

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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.