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Finding the Fourth Proportional to 9,446.41, 14,163.21 and 5,289.28

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Solution

The fourth proportional to 9,446.41, 14,163.21 and 5,289.28 is: 7,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.41 : 14,163.21 = 5,289.28 : x
  2. Step 2: Convert to fraction form
    9,446.41/14,163.21 = 5,289.28/x
  3. Step 3: Cross multiply
    9,446.41x = 14,163.21 × 5,289.28
  4. Step 4: Simplify right side
    9,446.41x = 74,913,183.39
  5. Step 5: Solve for x
    x = 74,913,183.39/9,446.41
  6. Step 6: Final answer
    x = 7,930.33

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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.