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Finding the Fourth Proportional to 9,229.68, 12,736.44 and 5,251.77

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Solution

The fourth proportional to 9,229.68, 12,736.44 and 5,251.77 is: 7,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.68 : 12,736.44 = 5,251.77 : x
  2. Step 2: Convert to fraction form
    9,229.68/12,736.44 = 5,251.77/x
  3. Step 3: Cross multiply
    9,229.68x = 12,736.44 × 5,251.77
  4. Step 4: Simplify right side
    9,229.68x = 66,888,853.50
  5. Step 5: Solve for x
    x = 66,888,853.50/9,229.68
  6. Step 6: Final answer
    x = 7,247.15

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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.