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Finding the Fourth Proportional to 6,614.80, 9,126.48 and 4,098.76

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Solution

The fourth proportional to 6,614.80, 9,126.48 and 4,098.76 is: 5,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.80 : 9,126.48 = 4,098.76 : x
  2. Step 2: Convert to fraction form
    6,614.80/9,126.48 = 4,098.76/x
  3. Step 3: Cross multiply
    6,614.80x = 9,126.48 × 4,098.76
  4. Step 4: Simplify right side
    6,614.80x = 37,407,251.16
  5. Step 5: Solve for x
    x = 37,407,251.16/6,614.80
  6. Step 6: Final answer
    x = 5,655.08

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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.