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Finding the Fourth Proportional to 11,469.65, 17,209.34 and 6,269.45

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Solution

The fourth proportional to 11,469.65, 17,209.34 and 6,269.45 is: 9,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.65 : 17,209.34 = 6,269.45 : x
  2. Step 2: Convert to fraction form
    11,469.65/17,209.34 = 6,269.45/x
  3. Step 3: Cross multiply
    11,469.65x = 17,209.34 × 6,269.45
  4. Step 4: Simplify right side
    11,469.65x = 107,892,979.27
  5. Step 5: Solve for x
    x = 107,892,979.27/11,469.65
  6. Step 6: Final answer
    x = 9,406.83

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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.