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Finding the Fourth Proportional to 6,464.70, 9,694.98 and 2,081.12

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Solution

The fourth proportional to 6,464.70, 9,694.98 and 2,081.12 is: 3,121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.70 : 9,694.98 = 2,081.12 : x
  2. Step 2: Convert to fraction form
    6,464.70/9,694.98 = 2,081.12/x
  3. Step 3: Cross multiply
    6,464.70x = 9,694.98 × 2,081.12
  4. Step 4: Simplify right side
    6,464.70x = 20,176,368.30
  5. Step 5: Solve for x
    x = 20,176,368.30/6,464.70
  6. Step 6: Final answer
    x = 3,121.01

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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.