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Finding the Fourth Proportional to 6,996.68, 9,655.42 and 3,809.96

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Solution

The fourth proportional to 6,996.68, 9,655.42 and 3,809.96 is: 5,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.68 : 9,655.42 = 3,809.96 : x
  2. Step 2: Convert to fraction form
    6,996.68/9,655.42 = 3,809.96/x
  3. Step 3: Cross multiply
    6,996.68x = 9,655.42 × 3,809.96
  4. Step 4: Simplify right side
    6,996.68x = 36,786,763.98
  5. Step 5: Solve for x
    x = 36,786,763.98/6,996.68
  6. Step 6: Final answer
    x = 5,257.75

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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.