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Finding the Fourth Proportional to 9,144.38, 13,713.86 and 3,879.32

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Solution

The fourth proportional to 9,144.38, 13,713.86 and 3,879.32 is: 5,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.38 : 13,713.86 = 3,879.32 : x
  2. Step 2: Convert to fraction form
    9,144.38/13,713.86 = 3,879.32/x
  3. Step 3: Cross multiply
    9,144.38x = 13,713.86 × 3,879.32
  4. Step 4: Simplify right side
    9,144.38x = 53,200,495.36
  5. Step 5: Solve for x
    x = 53,200,495.36/9,144.38
  6. Step 6: Final answer
    x = 5,817.83

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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.