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Finding the Fourth Proportional to 6,943.82, 9,582.43 and 3,757.11

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Solution

The fourth proportional to 6,943.82, 9,582.43 and 3,757.11 is: 5,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.82 : 9,582.43 = 3,757.11 : x
  2. Step 2: Convert to fraction form
    6,943.82/9,582.43 = 3,757.11/x
  3. Step 3: Cross multiply
    6,943.82x = 9,582.43 × 3,757.11
  4. Step 4: Simplify right side
    6,943.82x = 36,002,195.67
  5. Step 5: Solve for x
    x = 36,002,195.67/6,943.82
  6. Step 6: Final answer
    x = 5,184.78

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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.