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Finding the Fourth Proportional to 6,309.50, 9,463.41 and 2,149.34

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Solution

The fourth proportional to 6,309.50, 9,463.41 and 2,149.34 is: 3,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.50 : 9,463.41 = 2,149.34 : x
  2. Step 2: Convert to fraction form
    6,309.50/9,463.41 = 2,149.34/x
  3. Step 3: Cross multiply
    6,309.50x = 9,463.41 × 2,149.34
  4. Step 4: Simplify right side
    6,309.50x = 20,340,038.33
  5. Step 5: Solve for x
    x = 20,340,038.33/6,309.50
  6. Step 6: Final answer
    x = 3,223.72

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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.