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Finding the Fourth Proportional to 6,705.92, 9,254.17 and 3,721.76

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Solution

The fourth proportional to 6,705.92, 9,254.17 and 3,721.76 is: 5,136.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.92 : 9,254.17 = 3,721.76 : x
  2. Step 2: Convert to fraction form
    6,705.92/9,254.17 = 3,721.76/x
  3. Step 3: Cross multiply
    6,705.92x = 9,254.17 × 3,721.76
  4. Step 4: Simplify right side
    6,705.92x = 34,441,758.12
  5. Step 5: Solve for x
    x = 34,441,758.12/6,705.92
  6. Step 6: Final answer
    x = 5,136.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.