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Finding the Fourth Proportional to 12,162.96, 18,249.91 and 6,316.38

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Solution

The fourth proportional to 12,162.96, 18,249.91 and 6,316.38 is: 9,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.96 : 18,249.91 = 6,316.38 : x
  2. Step 2: Convert to fraction form
    12,162.96/18,249.91 = 6,316.38/x
  3. Step 3: Cross multiply
    12,162.96x = 18,249.91 × 6,316.38
  4. Step 4: Simplify right side
    12,162.96x = 115,273,350.73
  5. Step 5: Solve for x
    x = 115,273,350.73/12,162.96
  6. Step 6: Final answer
    x = 9,477.41

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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.