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Finding the Fourth Proportional to 6,744.90, 9,306.36 and 4,092.24

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Solution

The fourth proportional to 6,744.90, 9,306.36 and 4,092.24 is: 5,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.90 : 9,306.36 = 4,092.24 : x
  2. Step 2: Convert to fraction form
    6,744.90/9,306.36 = 4,092.24/x
  3. Step 3: Cross multiply
    6,744.90x = 9,306.36 × 4,092.24
  4. Step 4: Simplify right side
    6,744.90x = 38,083,858.65
  5. Step 5: Solve for x
    x = 38,083,858.65/6,744.90
  6. Step 6: Final answer
    x = 5,646.32

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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.