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Finding the Fourth Proportional to 6,711.35, 9,266.29 and 4,194.59

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Solution

The fourth proportional to 6,711.35, 9,266.29 and 4,194.59 is: 5,791.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.35 : 9,266.29 = 4,194.59 : x
  2. Step 2: Convert to fraction form
    6,711.35/9,266.29 = 4,194.59/x
  3. Step 3: Cross multiply
    6,711.35x = 9,266.29 × 4,194.59
  4. Step 4: Simplify right side
    6,711.35x = 38,868,241.04
  5. Step 5: Solve for x
    x = 38,868,241.04/6,711.35
  6. Step 6: Final answer
    x = 5,791.42

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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.