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Finding the Fourth Proportional to 9,757.56, 13,467.42 and 6,614.76

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Solution

The fourth proportional to 9,757.56, 13,467.42 and 6,614.76 is: 9,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.56 : 13,467.42 = 6,614.76 : x
  2. Step 2: Convert to fraction form
    9,757.56/13,467.42 = 6,614.76/x
  3. Step 3: Cross multiply
    9,757.56x = 13,467.42 × 6,614.76
  4. Step 4: Simplify right side
    9,757.56x = 89,083,751.12
  5. Step 5: Solve for x
    x = 89,083,751.12/9,757.56
  6. Step 6: Final answer
    x = 9,129.72

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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.