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Finding the Fourth Proportional to 9,633.84, 14,449.09 and 3,392.39

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Solution

The fourth proportional to 9,633.84, 14,449.09 and 3,392.39 is: 5,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.84 : 14,449.09 = 3,392.39 : x
  2. Step 2: Convert to fraction form
    9,633.84/14,449.09 = 3,392.39/x
  3. Step 3: Cross multiply
    9,633.84x = 14,449.09 × 3,392.39
  4. Step 4: Simplify right side
    9,633.84x = 49,016,934.60
  5. Step 5: Solve for x
    x = 49,016,934.60/9,633.84
  6. Step 6: Final answer
    x = 5,087.99

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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.