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Finding the Fourth Proportional to 9,142.56, 13,713.72 and 2,217.12

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Solution

The fourth proportional to 9,142.56, 13,713.72 and 2,217.12 is: 3,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.56 : 13,713.72 = 2,217.12 : x
  2. Step 2: Convert to fraction form
    9,142.56/13,713.72 = 2,217.12/x
  3. Step 3: Cross multiply
    9,142.56x = 13,713.72 × 2,217.12
  4. Step 4: Simplify right side
    9,142.56x = 30,404,962.89
  5. Step 5: Solve for x
    x = 30,404,962.89/9,142.56
  6. Step 6: Final answer
    x = 3,325.65

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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.