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Finding the Fourth Proportional to 6,910.20, 9,536.13 and 3,766.41

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Solution

The fourth proportional to 6,910.20, 9,536.13 and 3,766.41 is: 5,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.20 : 9,536.13 = 3,766.41 : x
  2. Step 2: Convert to fraction form
    6,910.20/9,536.13 = 3,766.41/x
  3. Step 3: Cross multiply
    6,910.20x = 9,536.13 × 3,766.41
  4. Step 4: Simplify right side
    6,910.20x = 35,916,975.39
  5. Step 5: Solve for x
    x = 35,916,975.39/6,910.20
  6. Step 6: Final answer
    x = 5,197.68

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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.