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Finding the Fourth Proportional to 6,991.27, 9,647.95 and 3,847.46

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Solution

The fourth proportional to 6,991.27, 9,647.95 and 3,847.46 is: 5,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.27 : 9,647.95 = 3,847.46 : x
  2. Step 2: Convert to fraction form
    6,991.27/9,647.95 = 3,847.46/x
  3. Step 3: Cross multiply
    6,991.27x = 9,647.95 × 3,847.46
  4. Step 4: Simplify right side
    6,991.27x = 37,120,102.59
  5. Step 5: Solve for x
    x = 37,120,102.59/6,991.27
  6. Step 6: Final answer
    x = 5,309.49

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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.