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Finding the Fourth Proportional to 6,716.35, 9,265.91 and 3,883.21

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Solution

The fourth proportional to 6,716.35, 9,265.91 and 3,883.21 is: 5,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.35 : 9,265.91 = 3,883.21 : x
  2. Step 2: Convert to fraction form
    6,716.35/9,265.91 = 3,883.21/x
  3. Step 3: Cross multiply
    6,716.35x = 9,265.91 × 3,883.21
  4. Step 4: Simplify right side
    6,716.35x = 35,981,428.04
  5. Step 5: Solve for x
    x = 35,981,428.04/6,716.35
  6. Step 6: Final answer
    x = 5,357.29

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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.