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Finding the Fourth Proportional to 6,027.84, 9,033.57 and 3,832.65

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Solution

The fourth proportional to 6,027.84, 9,033.57 and 3,832.65 is: 5,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.84 : 9,033.57 = 3,832.65 : x
  2. Step 2: Convert to fraction form
    6,027.84/9,033.57 = 3,832.65/x
  3. Step 3: Cross multiply
    6,027.84x = 9,033.57 × 3,832.65
  4. Step 4: Simplify right side
    6,027.84x = 34,622,512.06
  5. Step 5: Solve for x
    x = 34,622,512.06/6,027.84
  6. Step 6: Final answer
    x = 5,743.77

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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.