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Finding the Fourth Proportional to 9,634.38, 14,449.88 and 3,399

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Solution

The fourth proportional to 9,634.38, 14,449.88 and 3,399 is: 5,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.38 : 14,449.88 = 3,399 : x
  2. Step 2: Convert to fraction form
    9,634.38/14,449.88 = 3,399/x
  3. Step 3: Cross multiply
    9,634.38x = 14,449.88 × 3,399
  4. Step 4: Simplify right side
    9,634.38x = 49,115,142.12
  5. Step 5: Solve for x
    x = 49,115,142.12/9,634.38
  6. Step 6: Final answer
    x = 5,097.90

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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.