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Finding the Fourth Proportional to 9,469.76, 14,204.67 and 2,895.92

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Solution

The fourth proportional to 9,469.76, 14,204.67 and 2,895.92 is: 4,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.76 : 14,204.67 = 2,895.92 : x
  2. Step 2: Convert to fraction form
    9,469.76/14,204.67 = 2,895.92/x
  3. Step 3: Cross multiply
    9,469.76x = 14,204.67 × 2,895.92
  4. Step 4: Simplify right side
    9,469.76x = 41,135,516.92
  5. Step 5: Solve for x
    x = 41,135,516.92/9,469.76
  6. Step 6: Final answer
    x = 4,343.88

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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.