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Finding the Fourth Proportional to 9,441.12, 14,163.36 and 3,891.42

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Solution

The fourth proportional to 9,441.12, 14,163.36 and 3,891.42 is: 5,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.12 : 14,163.36 = 3,891.42 : x
  2. Step 2: Convert to fraction form
    9,441.12/14,163.36 = 3,891.42/x
  3. Step 3: Cross multiply
    9,441.12x = 14,163.36 × 3,891.42
  4. Step 4: Simplify right side
    9,441.12x = 55,115,582.37
  5. Step 5: Solve for x
    x = 55,115,582.37/9,441.12
  6. Step 6: Final answer
    x = 5,837.82

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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.