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Finding the Fourth Proportional to 8,162.91, 12,244.37 and 2,969.19

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Solution

The fourth proportional to 8,162.91, 12,244.37 and 2,969.19 is: 4,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.91 : 12,244.37 = 2,969.19 : x
  2. Step 2: Convert to fraction form
    8,162.91/12,244.37 = 2,969.19/x
  3. Step 3: Cross multiply
    8,162.91x = 12,244.37 × 2,969.19
  4. Step 4: Simplify right side
    8,162.91x = 36,355,846.11
  5. Step 5: Solve for x
    x = 36,355,846.11/8,162.91
  6. Step 6: Final answer
    x = 4,453.79

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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.