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Finding the Fourth Proportional to 9,180.66, 12,665.68 and 5,992.94

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Solution

The fourth proportional to 9,180.66, 12,665.68 and 5,992.94 is: 8,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.66 : 12,665.68 = 5,992.94 : x
  2. Step 2: Convert to fraction form
    9,180.66/12,665.68 = 5,992.94/x
  3. Step 3: Cross multiply
    9,180.66x = 12,665.68 × 5,992.94
  4. Step 4: Simplify right side
    9,180.66x = 75,904,584.65
  5. Step 5: Solve for x
    x = 75,904,584.65/9,180.66
  6. Step 6: Final answer
    x = 8,267.88

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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.