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Finding the Fourth Proportional to 6,952.57, 9,594.44 and 3,968.33

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Solution

The fourth proportional to 6,952.57, 9,594.44 and 3,968.33 is: 5,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.57 : 9,594.44 = 3,968.33 : x
  2. Step 2: Convert to fraction form
    6,952.57/9,594.44 = 3,968.33/x
  3. Step 3: Cross multiply
    6,952.57x = 9,594.44 × 3,968.33
  4. Step 4: Simplify right side
    6,952.57x = 38,073,836.27
  5. Step 5: Solve for x
    x = 38,073,836.27/6,952.57
  6. Step 6: Final answer
    x = 5,476.23

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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.