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Finding the Fourth Proportional to 6,446.94, 9,667.56 and 3,328.70

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Solution

The fourth proportional to 6,446.94, 9,667.56 and 3,328.70 is: 4,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.94 : 9,667.56 = 3,328.70 : x
  2. Step 2: Convert to fraction form
    6,446.94/9,667.56 = 3,328.70/x
  3. Step 3: Cross multiply
    6,446.94x = 9,667.56 × 3,328.70
  4. Step 4: Simplify right side
    6,446.94x = 32,180,406.97
  5. Step 5: Solve for x
    x = 32,180,406.97/6,446.94
  6. Step 6: Final answer
    x = 4,991.58

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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.