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Finding the Fourth Proportional to 9,469.65, 14,187.60 and 5,769.96

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Solution

The fourth proportional to 9,469.65, 14,187.60 and 5,769.96 is: 8,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.65 : 14,187.60 = 5,769.96 : x
  2. Step 2: Convert to fraction form
    9,469.65/14,187.60 = 5,769.96/x
  3. Step 3: Cross multiply
    9,469.65x = 14,187.60 × 5,769.96
  4. Step 4: Simplify right side
    9,469.65x = 81,861,884.50
  5. Step 5: Solve for x
    x = 81,861,884.50/9,469.65
  6. Step 6: Final answer
    x = 8,644.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.