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Finding the Fourth Proportional to 9,161.19, 13,734.09 and 6,379.65

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Solution

The fourth proportional to 9,161.19, 13,734.09 and 6,379.65 is: 9,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.19 : 13,734.09 = 6,379.65 : x
  2. Step 2: Convert to fraction form
    9,161.19/13,734.09 = 6,379.65/x
  3. Step 3: Cross multiply
    9,161.19x = 13,734.09 × 6,379.65
  4. Step 4: Simplify right side
    9,161.19x = 87,618,687.27
  5. Step 5: Solve for x
    x = 87,618,687.27/9,161.19
  6. Step 6: Final answer
    x = 9,564.12

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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.