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Finding the Fourth Proportional to 6,320.94, 9,481.44 and 1,640.62

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Solution

The fourth proportional to 6,320.94, 9,481.44 and 1,640.62 is: 2,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.94 : 9,481.44 = 1,640.62 : x
  2. Step 2: Convert to fraction form
    6,320.94/9,481.44 = 1,640.62/x
  3. Step 3: Cross multiply
    6,320.94x = 9,481.44 × 1,640.62
  4. Step 4: Simplify right side
    6,320.94x = 15,555,440.09
  5. Step 5: Solve for x
    x = 15,555,440.09/6,320.94
  6. Step 6: Final answer
    x = 2,460.94

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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.