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Finding the Fourth Proportional to 6,069.43, 9,100.38 and 2,557.63

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Solution

The fourth proportional to 6,069.43, 9,100.38 and 2,557.63 is: 3,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.43 : 9,100.38 = 2,557.63 : x
  2. Step 2: Convert to fraction form
    6,069.43/9,100.38 = 2,557.63/x
  3. Step 3: Cross multiply
    6,069.43x = 9,100.38 × 2,557.63
  4. Step 4: Simplify right side
    6,069.43x = 23,275,404.90
  5. Step 5: Solve for x
    x = 23,275,404.90/6,069.43
  6. Step 6: Final answer
    x = 3,834.86

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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.