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Finding the Fourth Proportional to 6,691.48, 9,232.26 and 4,037.80

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Solution

The fourth proportional to 6,691.48, 9,232.26 and 4,037.80 is: 5,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.48 : 9,232.26 = 4,037.80 : x
  2. Step 2: Convert to fraction form
    6,691.48/9,232.26 = 4,037.80/x
  3. Step 3: Cross multiply
    6,691.48x = 9,232.26 × 4,037.80
  4. Step 4: Simplify right side
    6,691.48x = 37,278,019.43
  5. Step 5: Solve for x
    x = 37,278,019.43/6,691.48
  6. Step 6: Final answer
    x = 5,570.97

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