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Finding the Fourth Proportional to 6,433.80, 9,653.94 and 2,540.94

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Solution

The fourth proportional to 6,433.80, 9,653.94 and 2,540.94 is: 3,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.80 : 9,653.94 = 2,540.94 : x
  2. Step 2: Convert to fraction form
    6,433.80/9,653.94 = 2,540.94/x
  3. Step 3: Cross multiply
    6,433.80x = 9,653.94 × 2,540.94
  4. Step 4: Simplify right side
    6,433.80x = 24,530,082.30
  5. Step 5: Solve for x
    x = 24,530,082.30/6,433.80
  6. Step 6: Final answer
    x = 3,812.69

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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.