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Finding the Fourth Proportional to 6,463.08, 9,693.18 and 2,566.44

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Solution

The fourth proportional to 6,463.08, 9,693.18 and 2,566.44 is: 3,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.08 : 9,693.18 = 2,566.44 : x
  2. Step 2: Convert to fraction form
    6,463.08/9,693.18 = 2,566.44/x
  3. Step 3: Cross multiply
    6,463.08x = 9,693.18 × 2,566.44
  4. Step 4: Simplify right side
    6,463.08x = 24,876,964.88
  5. Step 5: Solve for x
    x = 24,876,964.88/6,463.08
  6. Step 6: Final answer
    x = 3,849.09

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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.