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Finding the Fourth Proportional to 9,589.12, 14,375.21 and 3,741.64

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Solution

The fourth proportional to 9,589.12, 14,375.21 and 3,741.64 is: 5,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.12 : 14,375.21 = 3,741.64 : x
  2. Step 2: Convert to fraction form
    9,589.12/14,375.21 = 3,741.64/x
  3. Step 3: Cross multiply
    9,589.12x = 14,375.21 × 3,741.64
  4. Step 4: Simplify right side
    9,589.12x = 53,786,806.10
  5. Step 5: Solve for x
    x = 53,786,806.10/9,589.12
  6. Step 6: Final answer
    x = 5,609.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.