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Finding the Fourth Proportional to 6,140.38, 9,204 and 2,437.48

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Solution

The fourth proportional to 6,140.38, 9,204 and 2,437.48 is: 3,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.38 : 9,204 = 2,437.48 : x
  2. Step 2: Convert to fraction form
    6,140.38/9,204 = 2,437.48/x
  3. Step 3: Cross multiply
    6,140.38x = 9,204 × 2,437.48
  4. Step 4: Simplify right side
    6,140.38x = 22,434,565.92
  5. Step 5: Solve for x
    x = 22,434,565.92/6,140.38
  6. Step 6: Final answer
    x = 3,653.61

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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.