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Finding the Fourth Proportional to 6,972.94, 9,620.96 and 3,948.13

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Solution

The fourth proportional to 6,972.94, 9,620.96 and 3,948.13 is: 5,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.94 : 9,620.96 = 3,948.13 : x
  2. Step 2: Convert to fraction form
    6,972.94/9,620.96 = 3,948.13/x
  3. Step 3: Cross multiply
    6,972.94x = 9,620.96 × 3,948.13
  4. Step 4: Simplify right side
    6,972.94x = 37,984,793.09
  5. Step 5: Solve for x
    x = 37,984,793.09/6,972.94
  6. Step 6: Final answer
    x = 5,447.46

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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.