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Finding the Fourth Proportional to 6,974.50, 9,625.26 and 3,991.30

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Solution

The fourth proportional to 6,974.50, 9,625.26 and 3,991.30 is: 5,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.50 : 9,625.26 = 3,991.30 : x
  2. Step 2: Convert to fraction form
    6,974.50/9,625.26 = 3,991.30/x
  3. Step 3: Cross multiply
    6,974.50x = 9,625.26 × 3,991.30
  4. Step 4: Simplify right side
    6,974.50x = 38,417,300.24
  5. Step 5: Solve for x
    x = 38,417,300.24/6,974.50
  6. Step 6: Final answer
    x = 5,508.25

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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.