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Finding the Fourth Proportional to 6,129.78, 9,187.38 and 3,527.34

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Solution

The fourth proportional to 6,129.78, 9,187.38 and 3,527.34 is: 5,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.78 : 9,187.38 = 3,527.34 : x
  2. Step 2: Convert to fraction form
    6,129.78/9,187.38 = 3,527.34/x
  3. Step 3: Cross multiply
    6,129.78x = 9,187.38 × 3,527.34
  4. Step 4: Simplify right side
    6,129.78x = 32,407,012.97
  5. Step 5: Solve for x
    x = 32,407,012.97/6,129.78
  6. Step 6: Final answer
    x = 5,286.82

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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.