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Finding the Fourth Proportional to 6,757.89, 9,324.23 and 4,105.14

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Solution

The fourth proportional to 6,757.89, 9,324.23 and 4,105.14 is: 5,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.89 : 9,324.23 = 4,105.14 : x
  2. Step 2: Convert to fraction form
    6,757.89/9,324.23 = 4,105.14/x
  3. Step 3: Cross multiply
    6,757.89x = 9,324.23 × 4,105.14
  4. Step 4: Simplify right side
    6,757.89x = 38,277,249.02
  5. Step 5: Solve for x
    x = 38,277,249.02/6,757.89
  6. Step 6: Final answer
    x = 5,664.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.