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Finding the Fourth Proportional to 6,910.64, 9,536.67 and 3,766.85

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Solution

The fourth proportional to 6,910.64, 9,536.67 and 3,766.85 is: 5,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.64 : 9,536.67 = 3,766.85 : x
  2. Step 2: Convert to fraction form
    6,910.64/9,536.67 = 3,766.85/x
  3. Step 3: Cross multiply
    6,910.64x = 9,536.67 × 3,766.85
  4. Step 4: Simplify right side
    6,910.64x = 35,923,157.71
  5. Step 5: Solve for x
    x = 35,923,157.71/6,910.64
  6. Step 6: Final answer
    x = 5,198.24

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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.