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Finding the Fourth Proportional to 6,974.20, 9,624.71 and 3,990.97

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Solution

The fourth proportional to 6,974.20, 9,624.71 and 3,990.97 is: 5,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.20 : 9,624.71 = 3,990.97 : x
  2. Step 2: Convert to fraction form
    6,974.20/9,624.71 = 3,990.97/x
  3. Step 3: Cross multiply
    6,974.20x = 9,624.71 × 3,990.97
  4. Step 4: Simplify right side
    6,974.20x = 38,411,928.87
  5. Step 5: Solve for x
    x = 38,411,928.87/6,974.20
  6. Step 6: Final answer
    x = 5,507.72

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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.