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Finding the Fourth Proportional to 9,791.52, 14,687.48 and 2,771.52

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Solution

The fourth proportional to 9,791.52, 14,687.48 and 2,771.52 is: 4,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.52 : 14,687.48 = 2,771.52 : x
  2. Step 2: Convert to fraction form
    9,791.52/14,687.48 = 2,771.52/x
  3. Step 3: Cross multiply
    9,791.52x = 14,687.48 × 2,771.52
  4. Step 4: Simplify right side
    9,791.52x = 40,706,644.57
  5. Step 5: Solve for x
    x = 40,706,644.57/9,791.52
  6. Step 6: Final answer
    x = 4,157.34

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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.