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Finding the Fourth Proportional to 6,100.20, 8,400.42 and 5,938.92

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Solution

The fourth proportional to 6,100.20, 8,400.42 and 5,938.92 is: 8,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.20 : 8,400.42 = 5,938.92 : x
  2. Step 2: Convert to fraction form
    6,100.20/8,400.42 = 5,938.92/x
  3. Step 3: Cross multiply
    6,100.20x = 8,400.42 × 5,938.92
  4. Step 4: Simplify right side
    6,100.20x = 49,889,422.35
  5. Step 5: Solve for x
    x = 49,889,422.35/6,100.20
  6. Step 6: Final answer
    x = 8,178.33

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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.