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Finding the Fourth Proportional to 6,234.40, 9,351.60 and 5,687.65

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Solution

The fourth proportional to 6,234.40, 9,351.60 and 5,687.65 is: 8,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.40 : 9,351.60 = 5,687.65 : x
  2. Step 2: Convert to fraction form
    6,234.40/9,351.60 = 5,687.65/x
  3. Step 3: Cross multiply
    6,234.40x = 9,351.60 × 5,687.65
  4. Step 4: Simplify right side
    6,234.40x = 53,188,627.74
  5. Step 5: Solve for x
    x = 53,188,627.74/6,234.40
  6. Step 6: Final answer
    x = 8,531.48

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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.