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Finding the Fourth Proportional to 6,809.01, 9,394.83 and 3,824.97

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Solution

The fourth proportional to 6,809.01, 9,394.83 and 3,824.97 is: 5,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.01 : 9,394.83 = 3,824.97 : x
  2. Step 2: Convert to fraction form
    6,809.01/9,394.83 = 3,824.97/x
  3. Step 3: Cross multiply
    6,809.01x = 9,394.83 × 3,824.97
  4. Step 4: Simplify right side
    6,809.01x = 35,934,942.91
  5. Step 5: Solve for x
    x = 35,934,942.91/6,809.01
  6. Step 6: Final answer
    x = 5,277.56

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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.