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Finding the Fourth Proportional to 9,249.60, 13,872.96 and 3,009.72

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Solution

The fourth proportional to 9,249.60, 13,872.96 and 3,009.72 is: 4,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.60 : 13,872.96 = 3,009.72 : x
  2. Step 2: Convert to fraction form
    9,249.60/13,872.96 = 3,009.72/x
  3. Step 3: Cross multiply
    9,249.60x = 13,872.96 × 3,009.72
  4. Step 4: Simplify right side
    9,249.60x = 41,753,725.17
  5. Step 5: Solve for x
    x = 41,753,725.17/9,249.60
  6. Step 6: Final answer
    x = 4,514.11

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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.