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Finding the Fourth Proportional to 9,838.56, 14,744.87 and 3,991.98

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Solution

The fourth proportional to 9,838.56, 14,744.87 and 3,991.98 is: 5,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.56 : 14,744.87 = 3,991.98 : x
  2. Step 2: Convert to fraction form
    9,838.56/14,744.87 = 3,991.98/x
  3. Step 3: Cross multiply
    9,838.56x = 14,744.87 × 3,991.98
  4. Step 4: Simplify right side
    9,838.56x = 58,861,276.45
  5. Step 5: Solve for x
    x = 58,861,276.45/9,838.56
  6. Step 6: Final answer
    x = 5,982.71

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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.