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Finding the Fourth Proportional to 7,141.46, 9,855.15 and 3,998.24

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Solution

The fourth proportional to 7,141.46, 9,855.15 and 3,998.24 is: 5,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.46 : 9,855.15 = 3,998.24 : x
  2. Step 2: Convert to fraction form
    7,141.46/9,855.15 = 3,998.24/x
  3. Step 3: Cross multiply
    7,141.46x = 9,855.15 × 3,998.24
  4. Step 4: Simplify right side
    7,141.46x = 39,403,254.94
  5. Step 5: Solve for x
    x = 39,403,254.94/7,141.46
  6. Step 6: Final answer
    x = 5,517.53

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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.