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Finding the Fourth Proportional to 6,181.69, 9,217.39 and 5,494.81

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Solution

The fourth proportional to 6,181.69, 9,217.39 and 5,494.81 is: 8,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.69 : 9,217.39 = 5,494.81 : x
  2. Step 2: Convert to fraction form
    6,181.69/9,217.39 = 5,494.81/x
  3. Step 3: Cross multiply
    6,181.69x = 9,217.39 × 5,494.81
  4. Step 4: Simplify right side
    6,181.69x = 50,647,806.75
  5. Step 5: Solve for x
    x = 50,647,806.75/6,181.69
  6. Step 6: Final answer
    x = 8,193.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.