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Finding the Fourth Proportional to 9,464.10, 14,198.13 and 3,223.62

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Solution

The fourth proportional to 9,464.10, 14,198.13 and 3,223.62 is: 4,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.10 : 14,198.13 = 3,223.62 : x
  2. Step 2: Convert to fraction form
    9,464.10/14,198.13 = 3,223.62/x
  3. Step 3: Cross multiply
    9,464.10x = 14,198.13 × 3,223.62
  4. Step 4: Simplify right side
    9,464.10x = 45,769,375.83
  5. Step 5: Solve for x
    x = 45,769,375.83/9,464.10
  6. Step 6: Final answer
    x = 4,836.10

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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.