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Finding the Fourth Proportional to 6,968.78, 9,617.34 and 3,824.96

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Solution

The fourth proportional to 6,968.78, 9,617.34 and 3,824.96 is: 5,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.78 : 9,617.34 = 3,824.96 : x
  2. Step 2: Convert to fraction form
    6,968.78/9,617.34 = 3,824.96/x
  3. Step 3: Cross multiply
    6,968.78x = 9,617.34 × 3,824.96
  4. Step 4: Simplify right side
    6,968.78x = 36,785,940.81
  5. Step 5: Solve for x
    x = 36,785,940.81/6,968.78
  6. Step 6: Final answer
    x = 5,278.68

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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.