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Finding the Fourth Proportional to 9,229.40, 12,736.38 and 5,037.68

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Solution

The fourth proportional to 9,229.40, 12,736.38 and 5,037.68 is: 6,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.40 : 12,736.38 = 5,037.68 : x
  2. Step 2: Convert to fraction form
    9,229.40/12,736.38 = 5,037.68/x
  3. Step 3: Cross multiply
    9,229.40x = 12,736.38 × 5,037.68
  4. Step 4: Simplify right side
    9,229.40x = 64,161,743.12
  5. Step 5: Solve for x
    x = 64,161,743.12/9,229.40
  6. Step 6: Final answer
    x = 6,951.89

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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.