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Finding the Fourth Proportional to 9,469.19, 14,203.64 and 3,229.16

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Solution

The fourth proportional to 9,469.19, 14,203.64 and 3,229.16 is: 4,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.19 : 14,203.64 = 3,229.16 : x
  2. Step 2: Convert to fraction form
    9,469.19/14,203.64 = 3,229.16/x
  3. Step 3: Cross multiply
    9,469.19x = 14,203.64 × 3,229.16
  4. Step 4: Simplify right side
    9,469.19x = 45,865,763.20
  5. Step 5: Solve for x
    x = 45,865,763.20/9,469.19
  6. Step 6: Final answer
    x = 4,843.68

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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.