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Finding the Fourth Proportional to 6,472.92, 9,688.49 and 3,348.62

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Solution

The fourth proportional to 6,472.92, 9,688.49 and 3,348.62 is: 5,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.92 : 9,688.49 = 3,348.62 : x
  2. Step 2: Convert to fraction form
    6,472.92/9,688.49 = 3,348.62/x
  3. Step 3: Cross multiply
    6,472.92x = 9,688.49 × 3,348.62
  4. Step 4: Simplify right side
    6,472.92x = 32,443,071.38
  5. Step 5: Solve for x
    x = 32,443,071.38/6,472.92
  6. Step 6: Final answer
    x = 5,012.12

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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.