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Finding the Fourth Proportional to 7,229.94, 9,974.83 and 4,396.43

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Solution

The fourth proportional to 7,229.94, 9,974.83 and 4,396.43 is: 6,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.94 : 9,974.83 = 4,396.43 : x
  2. Step 2: Convert to fraction form
    7,229.94/9,974.83 = 4,396.43/x
  3. Step 3: Cross multiply
    7,229.94x = 9,974.83 × 4,396.43
  4. Step 4: Simplify right side
    7,229.94x = 43,853,641.86
  5. Step 5: Solve for x
    x = 43,853,641.86/7,229.94
  6. Step 6: Final answer
    x = 6,065.56

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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.