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Finding the Fourth Proportional to 6,287.24, 9,434.31 and 3,823.79

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Solution

The fourth proportional to 6,287.24, 9,434.31 and 3,823.79 is: 5,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.24 : 9,434.31 = 3,823.79 : x
  2. Step 2: Convert to fraction form
    6,287.24/9,434.31 = 3,823.79/x
  3. Step 3: Cross multiply
    6,287.24x = 9,434.31 × 3,823.79
  4. Step 4: Simplify right side
    6,287.24x = 36,074,758.72
  5. Step 5: Solve for x
    x = 36,074,758.72/6,287.24
  6. Step 6: Final answer
    x = 5,737.78

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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.