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Finding the Fourth Proportional to 6,908.26, 9,536.60 and 4,074.68

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Solution

The fourth proportional to 6,908.26, 9,536.60 and 4,074.68 is: 5,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.26 : 9,536.60 = 4,074.68 : x
  2. Step 2: Convert to fraction form
    6,908.26/9,536.60 = 4,074.68/x
  3. Step 3: Cross multiply
    6,908.26x = 9,536.60 × 4,074.68
  4. Step 4: Simplify right side
    6,908.26x = 38,858,593.29
  5. Step 5: Solve for x
    x = 38,858,593.29/6,908.26
  6. Step 6: Final answer
    x = 5,624.95

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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.