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Finding the Fourth Proportional to 8,809.60, 13,212.06 and 2,965

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Solution

The fourth proportional to 8,809.60, 13,212.06 and 2,965 is: 4,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,809.60 : 13,212.06 = 2,965 : x
  2. Step 2: Convert to fraction form
    8,809.60/13,212.06 = 2,965/x
  3. Step 3: Cross multiply
    8,809.60x = 13,212.06 × 2,965
  4. Step 4: Simplify right side
    8,809.60x = 39,173,757.90
  5. Step 5: Solve for x
    x = 39,173,757.90/8,809.60
  6. Step 6: Final answer
    x = 4,446.71

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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.