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Finding the Fourth Proportional to 6,234.20, 9,330.90 and 5,658.56

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Solution

The fourth proportional to 6,234.20, 9,330.90 and 5,658.56 is: 8,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.20 : 9,330.90 = 5,658.56 : x
  2. Step 2: Convert to fraction form
    6,234.20/9,330.90 = 5,658.56/x
  3. Step 3: Cross multiply
    6,234.20x = 9,330.90 × 5,658.56
  4. Step 4: Simplify right side
    6,234.20x = 52,799,457.50
  5. Step 5: Solve for x
    x = 52,799,457.50/6,234.20
  6. Step 6: Final answer
    x = 8,469.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.