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Finding the Fourth Proportional to 9,529.98, 13,149.50 and 5,991.14

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Solution

The fourth proportional to 9,529.98, 13,149.50 and 5,991.14 is: 8,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.98 : 13,149.50 = 5,991.14 : x
  2. Step 2: Convert to fraction form
    9,529.98/13,149.50 = 5,991.14/x
  3. Step 3: Cross multiply
    9,529.98x = 13,149.50 × 5,991.14
  4. Step 4: Simplify right side
    9,529.98x = 78,780,399.73
  5. Step 5: Solve for x
    x = 78,780,399.73/9,529.98
  6. Step 6: Final answer
    x = 8,266.59

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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.