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Finding the Fourth Proportional to 9,589.59, 14,375.75 and 3,744.77

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Solution

The fourth proportional to 9,589.59, 14,375.75 and 3,744.77 is: 5,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.59 : 14,375.75 = 3,744.77 : x
  2. Step 2: Convert to fraction form
    9,589.59/14,375.75 = 3,744.77/x
  3. Step 3: Cross multiply
    9,589.59x = 14,375.75 × 3,744.77
  4. Step 4: Simplify right side
    9,589.59x = 53,833,786.72
  5. Step 5: Solve for x
    x = 53,833,786.72/9,589.59
  6. Step 6: Final answer
    x = 5,613.77

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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.