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Finding the Fourth Proportional to 6,234.78, 9,306.56 and 5,496.69

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Solution

The fourth proportional to 6,234.78, 9,306.56 and 5,496.69 is: 8,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.78 : 9,306.56 = 5,496.69 : x
  2. Step 2: Convert to fraction form
    6,234.78/9,306.56 = 5,496.69/x
  3. Step 3: Cross multiply
    6,234.78x = 9,306.56 × 5,496.69
  4. Step 4: Simplify right side
    6,234.78x = 51,155,247.80
  5. Step 5: Solve for x
    x = 51,155,247.80/6,234.78
  6. Step 6: Final answer
    x = 8,204.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.