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Finding the Fourth Proportional to 7,141.24, 9,855.84 and 3,998.44

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Solution

The fourth proportional to 7,141.24, 9,855.84 and 3,998.44 is: 5,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.24 : 9,855.84 = 3,998.44 : x
  2. Step 2: Convert to fraction form
    7,141.24/9,855.84 = 3,998.44/x
  3. Step 3: Cross multiply
    7,141.24x = 9,855.84 × 3,998.44
  4. Step 4: Simplify right side
    7,141.24x = 39,407,984.89
  5. Step 5: Solve for x
    x = 39,407,984.89/7,141.24
  6. Step 6: Final answer
    x = 5,518.37

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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.