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Finding the Fourth Proportional to 6,933.72, 9,567.43 and 3,949.61

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Solution

The fourth proportional to 6,933.72, 9,567.43 and 3,949.61 is: 5,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.72 : 9,567.43 = 3,949.61 : x
  2. Step 2: Convert to fraction form
    6,933.72/9,567.43 = 3,949.61/x
  3. Step 3: Cross multiply
    6,933.72x = 9,567.43 × 3,949.61
  4. Step 4: Simplify right side
    6,933.72x = 37,787,631.25
  5. Step 5: Solve for x
    x = 37,787,631.25/6,933.72
  6. Step 6: Final answer
    x = 5,449.84

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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.