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Finding the Fourth Proportional to 6,952.33, 9,592.30 and 3,967.09

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Solution

The fourth proportional to 6,952.33, 9,592.30 and 3,967.09 is: 5,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.33 : 9,592.30 = 3,967.09 : x
  2. Step 2: Convert to fraction form
    6,952.33/9,592.30 = 3,967.09/x
  3. Step 3: Cross multiply
    6,952.33x = 9,592.30 × 3,967.09
  4. Step 4: Simplify right side
    6,952.33x = 38,053,517.41
  5. Step 5: Solve for x
    x = 38,053,517.41/6,952.33
  6. Step 6: Final answer
    x = 5,473.49

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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.