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Finding the Fourth Proportional to 6,251.38, 9,378.38 and 2,355.75

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Solution

The fourth proportional to 6,251.38, 9,378.38 and 2,355.75 is: 3,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.38 : 9,378.38 = 2,355.75 : x
  2. Step 2: Convert to fraction form
    6,251.38/9,378.38 = 2,355.75/x
  3. Step 3: Cross multiply
    6,251.38x = 9,378.38 × 2,355.75
  4. Step 4: Simplify right side
    6,251.38x = 22,093,124.57
  5. Step 5: Solve for x
    x = 22,093,124.57/6,251.38
  6. Step 6: Final answer
    x = 3,534.12

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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.