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Finding the Fourth Proportional to 6,822.44, 9,416.11 and 3,950.75

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Solution

The fourth proportional to 6,822.44, 9,416.11 and 3,950.75 is: 5,452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.44 : 9,416.11 = 3,950.75 : x
  2. Step 2: Convert to fraction form
    6,822.44/9,416.11 = 3,950.75/x
  3. Step 3: Cross multiply
    6,822.44x = 9,416.11 × 3,950.75
  4. Step 4: Simplify right side
    6,822.44x = 37,200,649.50
  5. Step 5: Solve for x
    x = 37,200,649.50/6,822.44
  6. Step 6: Final answer
    x = 5,452.69

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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.