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Finding the Fourth Proportional to 6,144.32, 9,218.64 and 2,249.12

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Solution

The fourth proportional to 6,144.32, 9,218.64 and 2,249.12 is: 3,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.32 : 9,218.64 = 2,249.12 : x
  2. Step 2: Convert to fraction form
    6,144.32/9,218.64 = 2,249.12/x
  3. Step 3: Cross multiply
    6,144.32x = 9,218.64 × 2,249.12
  4. Step 4: Simplify right side
    6,144.32x = 20,733,827.60
  5. Step 5: Solve for x
    x = 20,733,827.60/6,144.32
  6. Step 6: Final answer
    x = 3,374.47

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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.