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Finding the Fourth Proportional to 6,346.20, 9,512.49 and 2,645.64

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Solution

The fourth proportional to 6,346.20, 9,512.49 and 2,645.64 is: 3,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.20 : 9,512.49 = 2,645.64 : x
  2. Step 2: Convert to fraction form
    6,346.20/9,512.49 = 2,645.64/x
  3. Step 3: Cross multiply
    6,346.20x = 9,512.49 × 2,645.64
  4. Step 4: Simplify right side
    6,346.20x = 25,166,624.04
  5. Step 5: Solve for x
    x = 25,166,624.04/6,346.20
  6. Step 6: Final answer
    x = 3,965.62

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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.