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Finding the Fourth Proportional to 9,678.52, 13,351.39 and 8,144.92

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Solution

The fourth proportional to 9,678.52, 13,351.39 and 8,144.92 is: 11,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.52 : 13,351.39 = 8,144.92 : x
  2. Step 2: Convert to fraction form
    9,678.52/13,351.39 = 8,144.92/x
  3. Step 3: Cross multiply
    9,678.52x = 13,351.39 × 8,144.92
  4. Step 4: Simplify right side
    9,678.52x = 108,746,003.44
  5. Step 5: Solve for x
    x = 108,746,003.44/9,678.52
  6. Step 6: Final answer
    x = 11,235.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.