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Finding the Fourth Proportional to 6,448.24, 9,667.50 and 3,324.88

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Solution

The fourth proportional to 6,448.24, 9,667.50 and 3,324.88 is: 4,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.24 : 9,667.50 = 3,324.88 : x
  2. Step 2: Convert to fraction form
    6,448.24/9,667.50 = 3,324.88/x
  3. Step 3: Cross multiply
    6,448.24x = 9,667.50 × 3,324.88
  4. Step 4: Simplify right side
    6,448.24x = 32,143,277.40
  5. Step 5: Solve for x
    x = 32,143,277.40/6,448.24
  6. Step 6: Final answer
    x = 4,984.81

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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.