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Finding the Fourth Proportional to 6,464.79, 9,694.44 and 2,305.85

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Solution

The fourth proportional to 6,464.79, 9,694.44 and 2,305.85 is: 3,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.79 : 9,694.44 = 2,305.85 : x
  2. Step 2: Convert to fraction form
    6,464.79/9,694.44 = 2,305.85/x
  3. Step 3: Cross multiply
    6,464.79x = 9,694.44 × 2,305.85
  4. Step 4: Simplify right side
    6,464.79x = 22,353,876.00
  5. Step 5: Solve for x
    x = 22,353,876.00/6,464.79
  6. Step 6: Final answer
    x = 3,457.79

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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.