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Finding the Fourth Proportional to 6,991.82, 9,648.51 and 3,847.94

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Solution

The fourth proportional to 6,991.82, 9,648.51 and 3,847.94 is: 5,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.82 : 9,648.51 = 3,847.94 : x
  2. Step 2: Convert to fraction form
    6,991.82/9,648.51 = 3,847.94/x
  3. Step 3: Cross multiply
    6,991.82x = 9,648.51 × 3,847.94
  4. Step 4: Simplify right side
    6,991.82x = 37,126,887.57
  5. Step 5: Solve for x
    x = 37,126,887.57/6,991.82
  6. Step 6: Final answer
    x = 5,310.05

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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.