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Finding the Fourth Proportional to 9,248.24, 13,847.76 and 7,226.72

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Solution

The fourth proportional to 9,248.24, 13,847.76 and 7,226.72 is: 10,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.24 : 13,847.76 = 7,226.72 : x
  2. Step 2: Convert to fraction form
    9,248.24/13,847.76 = 7,226.72/x
  3. Step 3: Cross multiply
    9,248.24x = 13,847.76 × 7,226.72
  4. Step 4: Simplify right side
    9,248.24x = 100,073,884.15
  5. Step 5: Solve for x
    x = 100,073,884.15/9,248.24
  6. Step 6: Final answer
    x = 10,820.86

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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.