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Finding the Fourth Proportional to 6,134.33, 9,184.99 and 3,206.48

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Solution

The fourth proportional to 6,134.33, 9,184.99 and 3,206.48 is: 4,801.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.33 : 9,184.99 = 3,206.48 : x
  2. Step 2: Convert to fraction form
    6,134.33/9,184.99 = 3,206.48/x
  3. Step 3: Cross multiply
    6,134.33x = 9,184.99 × 3,206.48
  4. Step 4: Simplify right side
    6,134.33x = 29,451,470.70
  5. Step 5: Solve for x
    x = 29,451,470.70/6,134.33
  6. Step 6: Final answer
    x = 4,801.09

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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.