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Finding the Fourth Proportional to 6,974.32, 9,623.97 and 3,989.67

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Solution

The fourth proportional to 6,974.32, 9,623.97 and 3,989.67 is: 5,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.32 : 9,623.97 = 3,989.67 : x
  2. Step 2: Convert to fraction form
    6,974.32/9,623.97 = 3,989.67/x
  3. Step 3: Cross multiply
    6,974.32x = 9,623.97 × 3,989.67
  4. Step 4: Simplify right side
    6,974.32x = 38,396,464.39
  5. Step 5: Solve for x
    x = 38,396,464.39/6,974.32
  6. Step 6: Final answer
    x = 5,505.41

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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.