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Finding the Fourth Proportional to 6,138.07, 9,209.84 and 2,241.56

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Solution

The fourth proportional to 6,138.07, 9,209.84 and 2,241.56 is: 3,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.07 : 9,209.84 = 2,241.56 : x
  2. Step 2: Convert to fraction form
    6,138.07/9,209.84 = 2,241.56/x
  3. Step 3: Cross multiply
    6,138.07x = 9,209.84 × 2,241.56
  4. Step 4: Simplify right side
    6,138.07x = 20,644,420.77
  5. Step 5: Solve for x
    x = 20,644,420.77/6,138.07
  6. Step 6: Final answer
    x = 3,363.34

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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.