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Finding the Fourth Proportional to 6,126.57, 9,188.78 and 2,618.56

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Solution

The fourth proportional to 6,126.57, 9,188.78 and 2,618.56 is: 3,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.57 : 9,188.78 = 2,618.56 : x
  2. Step 2: Convert to fraction form
    6,126.57/9,188.78 = 2,618.56/x
  3. Step 3: Cross multiply
    6,126.57x = 9,188.78 × 2,618.56
  4. Step 4: Simplify right side
    6,126.57x = 24,061,355.33
  5. Step 5: Solve for x
    x = 24,061,355.33/6,126.57
  6. Step 6: Final answer
    x = 3,927.38

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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.