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Finding the Fourth Proportional to 6,934.87, 10,400.44 and 3,233.49

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Solution

The fourth proportional to 6,934.87, 10,400.44 and 3,233.49 is: 4,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.87 : 10,400.44 = 3,233.49 : x
  2. Step 2: Convert to fraction form
    6,934.87/10,400.44 = 3,233.49/x
  3. Step 3: Cross multiply
    6,934.87x = 10,400.44 × 3,233.49
  4. Step 4: Simplify right side
    6,934.87x = 33,629,718.74
  5. Step 5: Solve for x
    x = 33,629,718.74/6,934.87
  6. Step 6: Final answer
    x = 4,849.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.