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Finding the Fourth Proportional to 6,238.38, 9,355.54 and 2,077.27

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Solution

The fourth proportional to 6,238.38, 9,355.54 and 2,077.27 is: 3,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.38 : 9,355.54 = 2,077.27 : x
  2. Step 2: Convert to fraction form
    6,238.38/9,355.54 = 2,077.27/x
  3. Step 3: Cross multiply
    6,238.38x = 9,355.54 × 2,077.27
  4. Step 4: Simplify right side
    6,238.38x = 19,433,982.58
  5. Step 5: Solve for x
    x = 19,433,982.58/6,238.38
  6. Step 6: Final answer
    x = 3,115.23

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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.