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Finding the Fourth Proportional to 9,791.94, 14,675.84 and 3,862.86

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Solution

The fourth proportional to 9,791.94, 14,675.84 and 3,862.86 is: 5,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.94 : 14,675.84 = 3,862.86 : x
  2. Step 2: Convert to fraction form
    9,791.94/14,675.84 = 3,862.86/x
  3. Step 3: Cross multiply
    9,791.94x = 14,675.84 × 3,862.86
  4. Step 4: Simplify right side
    9,791.94x = 56,690,794.21
  5. Step 5: Solve for x
    x = 56,690,794.21/9,791.94
  6. Step 6: Final answer
    x = 5,789.54

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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.