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Finding the Fourth Proportional to 6,968.79, 9,614.56 and 3,982.49

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Solution

The fourth proportional to 6,968.79, 9,614.56 and 3,982.49 is: 5,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.79 : 9,614.56 = 3,982.49 : x
  2. Step 2: Convert to fraction form
    6,968.79/9,614.56 = 3,982.49/x
  3. Step 3: Cross multiply
    6,968.79x = 9,614.56 × 3,982.49
  4. Step 4: Simplify right side
    6,968.79x = 38,289,889.05
  5. Step 5: Solve for x
    x = 38,289,889.05/6,968.79
  6. Step 6: Final answer
    x = 5,494.48

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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.