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Finding the Fourth Proportional to 9,469.10, 14,200.92 and 2,895.80

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Solution

The fourth proportional to 9,469.10, 14,200.92 and 2,895.80 is: 4,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.10 : 14,200.92 = 2,895.80 : x
  2. Step 2: Convert to fraction form
    9,469.10/14,200.92 = 2,895.80/x
  3. Step 3: Cross multiply
    9,469.10x = 14,200.92 × 2,895.80
  4. Step 4: Simplify right side
    9,469.10x = 41,123,033.01
  5. Step 5: Solve for x
    x = 41,123,033.01/9,469.10
  6. Step 6: Final answer
    x = 4,342.86

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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.