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Finding the Fourth Proportional to 9,684.35, 14,521.72 and 3,443.42

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Solution

The fourth proportional to 9,684.35, 14,521.72 and 3,443.42 is: 5,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.35 : 14,521.72 = 3,443.42 : x
  2. Step 2: Convert to fraction form
    9,684.35/14,521.72 = 3,443.42/x
  3. Step 3: Cross multiply
    9,684.35x = 14,521.72 × 3,443.42
  4. Step 4: Simplify right side
    9,684.35x = 50,004,424.92
  5. Step 5: Solve for x
    x = 50,004,424.92/9,684.35
  6. Step 6: Final answer
    x = 5,163.43

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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.