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Finding the Fourth Proportional to 9,230.38, 12,736.41 and 5,694.70

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Solution

The fourth proportional to 9,230.38, 12,736.41 and 5,694.70 is: 7,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.38 : 12,736.41 = 5,694.70 : x
  2. Step 2: Convert to fraction form
    9,230.38/12,736.41 = 5,694.70/x
  3. Step 3: Cross multiply
    9,230.38x = 12,736.41 × 5,694.70
  4. Step 4: Simplify right side
    9,230.38x = 72,530,034.03
  5. Step 5: Solve for x
    x = 72,530,034.03/9,230.38
  6. Step 6: Final answer
    x = 7,857.75

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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.