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Finding the Fourth Proportional to 6,743.90, 9,304.98 and 4,091.24

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Solution

The fourth proportional to 6,743.90, 9,304.98 and 4,091.24 is: 5,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.90 : 9,304.98 = 4,091.24 : x
  2. Step 2: Convert to fraction form
    6,743.90/9,304.98 = 4,091.24/x
  3. Step 3: Cross multiply
    6,743.90x = 9,304.98 × 4,091.24
  4. Step 4: Simplify right side
    6,743.90x = 38,068,906.38
  5. Step 5: Solve for x
    x = 38,068,906.38/6,743.90
  6. Step 6: Final answer
    x = 5,644.94

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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.