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Finding the Fourth Proportional to 9,147.58, 13,723.31 and 3,224.23

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Solution

The fourth proportional to 9,147.58, 13,723.31 and 3,224.23 is: 4,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.58 : 13,723.31 = 3,224.23 : x
  2. Step 2: Convert to fraction form
    9,147.58/13,723.31 = 3,224.23/x
  3. Step 3: Cross multiply
    9,147.58x = 13,723.31 × 3,224.23
  4. Step 4: Simplify right side
    9,147.58x = 44,247,115.62
  5. Step 5: Solve for x
    x = 44,247,115.62/9,147.58
  6. Step 6: Final answer
    x = 4,837.03

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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.