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Finding the Fourth Proportional to 9,149.73, 13,694.49 and 6,946.32

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Solution

The fourth proportional to 9,149.73, 13,694.49 and 6,946.32 is: 10,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.73 : 13,694.49 = 6,946.32 : x
  2. Step 2: Convert to fraction form
    9,149.73/13,694.49 = 6,946.32/x
  3. Step 3: Cross multiply
    9,149.73x = 13,694.49 × 6,946.32
  4. Step 4: Simplify right side
    9,149.73x = 95,126,309.78
  5. Step 5: Solve for x
    x = 95,126,309.78/9,149.73
  6. Step 6: Final answer
    x = 10,396.62

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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.