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Finding the Fourth Proportional to 9,857.18, 14,791.43 and 5,474.27

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Solution

The fourth proportional to 9,857.18, 14,791.43 and 5,474.27 is: 8,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.18 : 14,791.43 = 5,474.27 : x
  2. Step 2: Convert to fraction form
    9,857.18/14,791.43 = 5,474.27/x
  3. Step 3: Cross multiply
    9,857.18x = 14,791.43 × 5,474.27
  4. Step 4: Simplify right side
    9,857.18x = 80,972,221.23
  5. Step 5: Solve for x
    x = 80,972,221.23/9,857.18
  6. Step 6: Final answer
    x = 8,214.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.