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Finding the Fourth Proportional to 6,910.74, 9,536.76 and 3,766.86

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Solution

The fourth proportional to 6,910.74, 9,536.76 and 3,766.86 is: 5,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.74 : 9,536.76 = 3,766.86 : x
  2. Step 2: Convert to fraction form
    6,910.74/9,536.76 = 3,766.86/x
  3. Step 3: Cross multiply
    6,910.74x = 9,536.76 × 3,766.86
  4. Step 4: Simplify right side
    6,910.74x = 35,923,639.77
  5. Step 5: Solve for x
    x = 35,923,639.77/6,910.74
  6. Step 6: Final answer
    x = 5,198.23

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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.