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Finding the Fourth Proportional to 6,934.41, 9,567.99 and 3,949.43

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Solution

The fourth proportional to 6,934.41, 9,567.99 and 3,949.43 is: 5,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.41 : 9,567.99 = 3,949.43 : x
  2. Step 2: Convert to fraction form
    6,934.41/9,567.99 = 3,949.43/x
  3. Step 3: Cross multiply
    6,934.41x = 9,567.99 × 3,949.43
  4. Step 4: Simplify right side
    6,934.41x = 37,788,058.91
  5. Step 5: Solve for x
    x = 37,788,058.91/6,934.41
  6. Step 6: Final answer
    x = 5,449.35

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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.