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Finding the Fourth Proportional to 6,209.38, 9,310.47 and 2,508.58

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Solution

The fourth proportional to 6,209.38, 9,310.47 and 2,508.58 is: 3,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.38 : 9,310.47 = 2,508.58 : x
  2. Step 2: Convert to fraction form
    6,209.38/9,310.47 = 2,508.58/x
  3. Step 3: Cross multiply
    6,209.38x = 9,310.47 × 2,508.58
  4. Step 4: Simplify right side
    6,209.38x = 23,356,058.83
  5. Step 5: Solve for x
    x = 23,356,058.83/6,209.38
  6. Step 6: Final answer
    x = 3,761.42

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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.