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Finding the Fourth Proportional to 9,027.65, 13,542.29 and 2,787.75

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Solution

The fourth proportional to 9,027.65, 13,542.29 and 2,787.75 is: 4,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.65 : 13,542.29 = 2,787.75 : x
  2. Step 2: Convert to fraction form
    9,027.65/13,542.29 = 2,787.75/x
  3. Step 3: Cross multiply
    9,027.65x = 13,542.29 × 2,787.75
  4. Step 4: Simplify right side
    9,027.65x = 37,752,505.01
  5. Step 5: Solve for x
    x = 37,752,505.01/9,027.65
  6. Step 6: Final answer
    x = 4,181.88

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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.