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Finding the Fourth Proportional to 6,327.12, 9,489.12 and 2,863.68

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Solution

The fourth proportional to 6,327.12, 9,489.12 and 2,863.68 is: 4,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.12 : 9,489.12 = 2,863.68 : x
  2. Step 2: Convert to fraction form
    6,327.12/9,489.12 = 2,863.68/x
  3. Step 3: Cross multiply
    6,327.12x = 9,489.12 × 2,863.68
  4. Step 4: Simplify right side
    6,327.12x = 27,173,803.16
  5. Step 5: Solve for x
    x = 27,173,803.16/6,327.12
  6. Step 6: Final answer
    x = 4,294.81

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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.