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Finding the Fourth Proportional to 6,164.15, 9,251.72 and 2,879.09

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Solution

The fourth proportional to 6,164.15, 9,251.72 and 2,879.09 is: 4,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.15 : 9,251.72 = 2,879.09 : x
  2. Step 2: Convert to fraction form
    6,164.15/9,251.72 = 2,879.09/x
  3. Step 3: Cross multiply
    6,164.15x = 9,251.72 × 2,879.09
  4. Step 4: Simplify right side
    6,164.15x = 26,636,571.41
  5. Step 5: Solve for x
    x = 26,636,571.41/6,164.15
  6. Step 6: Final answer
    x = 4,321.21

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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.