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Finding the Fourth Proportional to 6,972.31, 9,622.36 and 3,989.12

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Solution

The fourth proportional to 6,972.31, 9,622.36 and 3,989.12 is: 5,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.31 : 9,622.36 = 3,989.12 : x
  2. Step 2: Convert to fraction form
    6,972.31/9,622.36 = 3,989.12/x
  3. Step 3: Cross multiply
    6,972.31x = 9,622.36 × 3,989.12
  4. Step 4: Simplify right side
    6,972.31x = 38,384,705.60
  5. Step 5: Solve for x
    x = 38,384,705.60/6,972.31
  6. Step 6: Final answer
    x = 5,505.31

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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.