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Finding the Fourth Proportional to 9,793.98, 14,692.14 and 3,952.26

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Solution

The fourth proportional to 9,793.98, 14,692.14 and 3,952.26 is: 5,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.98 : 14,692.14 = 3,952.26 : x
  2. Step 2: Convert to fraction form
    9,793.98/14,692.14 = 3,952.26/x
  3. Step 3: Cross multiply
    9,793.98x = 14,692.14 × 3,952.26
  4. Step 4: Simplify right side
    9,793.98x = 58,067,157.24
  5. Step 5: Solve for x
    x = 58,067,157.24/9,793.98
  6. Step 6: Final answer
    x = 5,928.86

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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.