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Finding the Fourth Proportional to 9,226.60, 12,728.46 and 5,448.76

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Solution

The fourth proportional to 9,226.60, 12,728.46 and 5,448.76 is: 7,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.60 : 12,728.46 = 5,448.76 : x
  2. Step 2: Convert to fraction form
    9,226.60/12,728.46 = 5,448.76/x
  3. Step 3: Cross multiply
    9,226.60x = 12,728.46 × 5,448.76
  4. Step 4: Simplify right side
    9,226.60x = 69,354,323.71
  5. Step 5: Solve for x
    x = 69,354,323.71/9,226.60
  6. Step 6: Final answer
    x = 7,516.78

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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.