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Finding the Fourth Proportional to 9,249.30, 12,763.68 and 8,496.24

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Solution

The fourth proportional to 9,249.30, 12,763.68 and 8,496.24 is: 11,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.30 : 12,763.68 = 8,496.24 : x
  2. Step 2: Convert to fraction form
    9,249.30/12,763.68 = 8,496.24/x
  3. Step 3: Cross multiply
    9,249.30x = 12,763.68 × 8,496.24
  4. Step 4: Simplify right side
    9,249.30x = 108,443,288.56
  5. Step 5: Solve for x
    x = 108,443,288.56/9,249.30
  6. Step 6: Final answer
    x = 11,724.49

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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.