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Finding the Fourth Proportional to 6,974.70, 9,625.24 and 3,990.81

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Solution

The fourth proportional to 6,974.70, 9,625.24 and 3,990.81 is: 5,507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.70 : 9,625.24 = 3,990.81 : x
  2. Step 2: Convert to fraction form
    6,974.70/9,625.24 = 3,990.81/x
  3. Step 3: Cross multiply
    6,974.70x = 9,625.24 × 3,990.81
  4. Step 4: Simplify right side
    6,974.70x = 38,412,504.04
  5. Step 5: Solve for x
    x = 38,412,504.04/6,974.70
  6. Step 6: Final answer
    x = 5,507.41

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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.