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Finding the Fourth Proportional to 9,241.72, 12,757.76 and 5,889.13

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Solution

The fourth proportional to 9,241.72, 12,757.76 and 5,889.13 is: 8,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.72 : 12,757.76 = 5,889.13 : x
  2. Step 2: Convert to fraction form
    9,241.72/12,757.76 = 5,889.13/x
  3. Step 3: Cross multiply
    9,241.72x = 12,757.76 × 5,889.13
  4. Step 4: Simplify right side
    9,241.72x = 75,132,107.15
  5. Step 5: Solve for x
    x = 75,132,107.15/9,241.72
  6. Step 6: Final answer
    x = 8,129.67

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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.