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Finding the Fourth Proportional to 7,142.98, 9,857.46 and 3,998.92

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Solution

The fourth proportional to 7,142.98, 9,857.46 and 3,998.92 is: 5,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.98 : 9,857.46 = 3,998.92 : x
  2. Step 2: Convert to fraction form
    7,142.98/9,857.46 = 3,998.92/x
  3. Step 3: Cross multiply
    7,142.98x = 9,857.46 × 3,998.92
  4. Step 4: Simplify right side
    7,142.98x = 39,419,193.94
  5. Step 5: Solve for x
    x = 39,419,193.94/7,142.98
  6. Step 6: Final answer
    x = 5,518.59

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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.