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Finding the Fourth Proportional to 9,495.52, 14,234.60 and 4,227.76

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Solution

The fourth proportional to 9,495.52, 14,234.60 and 4,227.76 is: 6,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.52 : 14,234.60 = 4,227.76 : x
  2. Step 2: Convert to fraction form
    9,495.52/14,234.60 = 4,227.76/x
  3. Step 3: Cross multiply
    9,495.52x = 14,234.60 × 4,227.76
  4. Step 4: Simplify right side
    9,495.52x = 60,180,472.50
  5. Step 5: Solve for x
    x = 60,180,472.50/9,495.52
  6. Step 6: Final answer
    x = 6,337.78

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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.