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Finding the Fourth Proportional to 9,178.92, 13,729.50 and 6,224.04

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Solution

The fourth proportional to 9,178.92, 13,729.50 and 6,224.04 is: 9,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.92 : 13,729.50 = 6,224.04 : x
  2. Step 2: Convert to fraction form
    9,178.92/13,729.50 = 6,224.04/x
  3. Step 3: Cross multiply
    9,178.92x = 13,729.50 × 6,224.04
  4. Step 4: Simplify right side
    9,178.92x = 85,452,957.18
  5. Step 5: Solve for x
    x = 85,452,957.18/9,178.92
  6. Step 6: Final answer
    x = 9,309.70

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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.