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Finding the Fourth Proportional to 9,759.37, 13,463.49 and 6,220.38

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Solution

The fourth proportional to 9,759.37, 13,463.49 and 6,220.38 is: 8,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.37 : 13,463.49 = 6,220.38 : x
  2. Step 2: Convert to fraction form
    9,759.37/13,463.49 = 6,220.38/x
  3. Step 3: Cross multiply
    9,759.37x = 13,463.49 × 6,220.38
  4. Step 4: Simplify right side
    9,759.37x = 83,747,996.76
  5. Step 5: Solve for x
    x = 83,747,996.76/9,759.37
  6. Step 6: Final answer
    x = 8,581.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.