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Finding the Fourth Proportional to 6,843.21, 9,443.43 and 3,858.99

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Solution

The fourth proportional to 6,843.21, 9,443.43 and 3,858.99 is: 5,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.21 : 9,443.43 = 3,858.99 : x
  2. Step 2: Convert to fraction form
    6,843.21/9,443.43 = 3,858.99/x
  3. Step 3: Cross multiply
    6,843.21x = 9,443.43 × 3,858.99
  4. Step 4: Simplify right side
    6,843.21x = 36,442,101.94
  5. Step 5: Solve for x
    x = 36,442,101.94/6,843.21
  6. Step 6: Final answer
    x = 5,325.29

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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.