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Finding the Fourth Proportional to 6,968.46, 9,614.82 and 3,943.62

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Solution

The fourth proportional to 6,968.46, 9,614.82 and 3,943.62 is: 5,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.46 : 9,614.82 = 3,943.62 : x
  2. Step 2: Convert to fraction form
    6,968.46/9,614.82 = 3,943.62/x
  3. Step 3: Cross multiply
    6,968.46x = 9,614.82 × 3,943.62
  4. Step 4: Simplify right side
    6,968.46x = 37,917,196.45
  5. Step 5: Solve for x
    x = 37,917,196.45/6,968.46
  6. Step 6: Final answer
    x = 5,441.26

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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.