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Finding the Fourth Proportional to 6,251.52, 9,378.68 and 2,355.96

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Solution

The fourth proportional to 6,251.52, 9,378.68 and 2,355.96 is: 3,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.52 : 9,378.68 = 2,355.96 : x
  2. Step 2: Convert to fraction form
    6,251.52/9,378.68 = 2,355.96/x
  3. Step 3: Cross multiply
    6,251.52x = 9,378.68 × 2,355.96
  4. Step 4: Simplify right side
    6,251.52x = 22,095,794.93
  5. Step 5: Solve for x
    x = 22,095,794.93/6,251.52
  6. Step 6: Final answer
    x = 3,534.47

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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.