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Finding the Fourth Proportional to 6,143.90, 9,205.05 and 5,452.70

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Solution

The fourth proportional to 6,143.90, 9,205.05 and 5,452.70 is: 8,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.90 : 9,205.05 = 5,452.70 : x
  2. Step 2: Convert to fraction form
    6,143.90/9,205.05 = 5,452.70/x
  3. Step 3: Cross multiply
    6,143.90x = 9,205.05 × 5,452.70
  4. Step 4: Simplify right side
    6,143.90x = 50,192,376.14
  5. Step 5: Solve for x
    x = 50,192,376.14/6,143.90
  6. Step 6: Final answer
    x = 8,169.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.