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Finding the Fourth Proportional to 9,589.82, 14,381.24 and 3,348.08

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Solution

The fourth proportional to 9,589.82, 14,381.24 and 3,348.08 is: 5,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.82 : 14,381.24 = 3,348.08 : x
  2. Step 2: Convert to fraction form
    9,589.82/14,381.24 = 3,348.08/x
  3. Step 3: Cross multiply
    9,589.82x = 14,381.24 × 3,348.08
  4. Step 4: Simplify right side
    9,589.82x = 48,149,542.02
  5. Step 5: Solve for x
    x = 48,149,542.02/9,589.82
  6. Step 6: Final answer
    x = 5,020.90

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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.