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Finding the Fourth Proportional to 9,028.80, 13,542.72 and 3,183.84

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Solution

The fourth proportional to 9,028.80, 13,542.72 and 3,183.84 is: 4,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.80 : 13,542.72 = 3,183.84 : x
  2. Step 2: Convert to fraction form
    9,028.80/13,542.72 = 3,183.84/x
  3. Step 3: Cross multiply
    9,028.80x = 13,542.72 × 3,183.84
  4. Step 4: Simplify right side
    9,028.80x = 43,117,853.64
  5. Step 5: Solve for x
    x = 43,117,853.64/9,028.80
  6. Step 6: Final answer
    x = 4,775.59

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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.