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Finding the Fourth Proportional to 9,227.85, 13,856.37 and 7,288.71

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Solution

The fourth proportional to 9,227.85, 13,856.37 and 7,288.71 is: 10,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.85 : 13,856.37 = 7,288.71 : x
  2. Step 2: Convert to fraction form
    9,227.85/13,856.37 = 7,288.71/x
  3. Step 3: Cross multiply
    9,227.85x = 13,856.37 × 7,288.71
  4. Step 4: Simplify right side
    9,227.85x = 100,995,062.58
  5. Step 5: Solve for x
    x = 100,995,062.58/9,227.85
  6. Step 6: Final answer
    x = 10,944.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.