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Finding the Fourth Proportional to 9,448.08, 14,171.76 and 3,900

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Solution

The fourth proportional to 9,448.08, 14,171.76 and 3,900 is: 5,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.08 : 14,171.76 = 3,900 : x
  2. Step 2: Convert to fraction form
    9,448.08/14,171.76 = 3,900/x
  3. Step 3: Cross multiply
    9,448.08x = 14,171.76 × 3,900
  4. Step 4: Simplify right side
    9,448.08x = 55,269,864
  5. Step 5: Solve for x
    x = 55,269,864/9,448.08
  6. Step 6: Final answer
    x = 5,849.85

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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.