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Finding the Fourth Proportional to 9,251.62, 13,879.46 and 2,678.07

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Solution

The fourth proportional to 9,251.62, 13,879.46 and 2,678.07 is: 4,017.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.62 : 13,879.46 = 2,678.07 : x
  2. Step 2: Convert to fraction form
    9,251.62/13,879.46 = 2,678.07/x
  3. Step 3: Cross multiply
    9,251.62x = 13,879.46 × 2,678.07
  4. Step 4: Simplify right side
    9,251.62x = 37,170,165.44
  5. Step 5: Solve for x
    x = 37,170,165.44/9,251.62
  6. Step 6: Final answer
    x = 4,017.69

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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.