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Finding the Fourth Proportional to 6,952.08, 9,593.76 and 3,808.29

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Solution

The fourth proportional to 6,952.08, 9,593.76 and 3,808.29 is: 5,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.08 : 9,593.76 = 3,808.29 : x
  2. Step 2: Convert to fraction form
    6,952.08/9,593.76 = 3,808.29/x
  3. Step 3: Cross multiply
    6,952.08x = 9,593.76 × 3,808.29
  4. Step 4: Simplify right side
    6,952.08x = 36,535,820.27
  5. Step 5: Solve for x
    x = 36,535,820.27/6,952.08
  6. Step 6: Final answer
    x = 5,255.38

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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.