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Finding the Fourth Proportional to 8,129.92, 11,227.26 and 6,944.08

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Solution

The fourth proportional to 8,129.92, 11,227.26 and 6,944.08 is: 9,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.92 : 11,227.26 = 6,944.08 : x
  2. Step 2: Convert to fraction form
    8,129.92/11,227.26 = 6,944.08/x
  3. Step 3: Cross multiply
    8,129.92x = 11,227.26 × 6,944.08
  4. Step 4: Simplify right side
    8,129.92x = 77,962,991.62
  5. Step 5: Solve for x
    x = 77,962,991.62/8,129.92
  6. Step 6: Final answer
    x = 9,589.64

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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.