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Finding the Fourth Proportional to 9,028.38, 13,542.78 and 2,788.55

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Solution

The fourth proportional to 9,028.38, 13,542.78 and 2,788.55 is: 4,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.38 : 13,542.78 = 2,788.55 : x
  2. Step 2: Convert to fraction form
    9,028.38/13,542.78 = 2,788.55/x
  3. Step 3: Cross multiply
    9,028.38x = 13,542.78 × 2,788.55
  4. Step 4: Simplify right side
    9,028.38x = 37,764,651.46
  5. Step 5: Solve for x
    x = 37,764,651.46/9,028.38
  6. Step 6: Final answer
    x = 4,182.88

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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.