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Finding the Fourth Proportional to 6,949.35, 9,589.69 and 3,965.47

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Solution

The fourth proportional to 6,949.35, 9,589.69 and 3,965.47 is: 5,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.35 : 9,589.69 = 3,965.47 : x
  2. Step 2: Convert to fraction form
    6,949.35/9,589.69 = 3,965.47/x
  3. Step 3: Cross multiply
    6,949.35x = 9,589.69 × 3,965.47
  4. Step 4: Simplify right side
    6,949.35x = 38,027,594.12
  5. Step 5: Solve for x
    x = 38,027,594.12/6,949.35
  6. Step 6: Final answer
    x = 5,472.11

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