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Finding the Fourth Proportional to 6,968.01, 9,615.90 and 3,781.38

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Solution

The fourth proportional to 6,968.01, 9,615.90 and 3,781.38 is: 5,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.01 : 9,615.90 = 3,781.38 : x
  2. Step 2: Convert to fraction form
    6,968.01/9,615.90 = 3,781.38/x
  3. Step 3: Cross multiply
    6,968.01x = 9,615.90 × 3,781.38
  4. Step 4: Simplify right side
    6,968.01x = 36,361,371.94
  5. Step 5: Solve for x
    x = 36,361,371.94/6,968.01
  6. Step 6: Final answer
    x = 5,218.33

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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.