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Finding the Fourth Proportional to 6,542.45, 9,028.11 and 3,709.88

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Solution

The fourth proportional to 6,542.45, 9,028.11 and 3,709.88 is: 5,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.45 : 9,028.11 = 3,709.88 : x
  2. Step 2: Convert to fraction form
    6,542.45/9,028.11 = 3,709.88/x
  3. Step 3: Cross multiply
    6,542.45x = 9,028.11 × 3,709.88
  4. Step 4: Simplify right side
    6,542.45x = 33,493,204.73
  5. Step 5: Solve for x
    x = 33,493,204.73/6,542.45
  6. Step 6: Final answer
    x = 5,119.37

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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.