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Finding the Fourth Proportional to 9,468.81, 14,201.82 and 3,229.02

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Solution

The fourth proportional to 9,468.81, 14,201.82 and 3,229.02 is: 4,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.81 : 14,201.82 = 3,229.02 : x
  2. Step 2: Convert to fraction form
    9,468.81/14,201.82 = 3,229.02/x
  3. Step 3: Cross multiply
    9,468.81x = 14,201.82 × 3,229.02
  4. Step 4: Simplify right side
    9,468.81x = 45,857,960.82
  5. Step 5: Solve for x
    x = 45,857,960.82/9,468.81
  6. Step 6: Final answer
    x = 4,843.05

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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.