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Finding the Fourth Proportional to 6,234.87, 9,344.22 and 2,532.80

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Solution

The fourth proportional to 6,234.87, 9,344.22 and 2,532.80 is: 3,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.87 : 9,344.22 = 2,532.80 : x
  2. Step 2: Convert to fraction form
    6,234.87/9,344.22 = 2,532.80/x
  3. Step 3: Cross multiply
    6,234.87x = 9,344.22 × 2,532.80
  4. Step 4: Simplify right side
    6,234.87x = 23,667,040.42
  5. Step 5: Solve for x
    x = 23,667,040.42/6,234.87
  6. Step 6: Final answer
    x = 3,795.92

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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.