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Finding the Fourth Proportional to 6,138.17, 9,208.16 and 2,241.66

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Solution

The fourth proportional to 6,138.17, 9,208.16 and 2,241.66 is: 3,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.17 : 9,208.16 = 2,241.66 : x
  2. Step 2: Convert to fraction form
    6,138.17/9,208.16 = 2,241.66/x
  3. Step 3: Cross multiply
    6,138.17x = 9,208.16 × 2,241.66
  4. Step 4: Simplify right side
    6,138.17x = 20,641,552.74
  5. Step 5: Solve for x
    x = 20,641,552.74/6,138.17
  6. Step 6: Final answer
    x = 3,362.82

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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.