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Finding the Fourth Proportional to 9,586.68, 14,380.74 and 2,661

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Solution

The fourth proportional to 9,586.68, 14,380.74 and 2,661 is: 3,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.68 : 14,380.74 = 2,661 : x
  2. Step 2: Convert to fraction form
    9,586.68/14,380.74 = 2,661/x
  3. Step 3: Cross multiply
    9,586.68x = 14,380.74 × 2,661
  4. Step 4: Simplify right side
    9,586.68x = 38,267,149.14
  5. Step 5: Solve for x
    x = 38,267,149.14/9,586.68
  6. Step 6: Final answer
    x = 3,991.70

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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.