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Finding the Fourth Proportional to 9,684.72, 14,522.29 and 3,443.80

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Solution

The fourth proportional to 9,684.72, 14,522.29 and 3,443.80 is: 5,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.72 : 14,522.29 = 3,443.80 : x
  2. Step 2: Convert to fraction form
    9,684.72/14,522.29 = 3,443.80/x
  3. Step 3: Cross multiply
    9,684.72x = 14,522.29 × 3,443.80
  4. Step 4: Simplify right side
    9,684.72x = 50,011,845.08
  5. Step 5: Solve for x
    x = 50,011,845.08/9,684.72
  6. Step 6: Final answer
    x = 5,163.99

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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.