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Finding the Fourth Proportional to 6,411.92, 9,611.25 and 2,462.12

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Solution

The fourth proportional to 6,411.92, 9,611.25 and 2,462.12 is: 3,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.92 : 9,611.25 = 2,462.12 : x
  2. Step 2: Convert to fraction form
    6,411.92/9,611.25 = 2,462.12/x
  3. Step 3: Cross multiply
    6,411.92x = 9,611.25 × 2,462.12
  4. Step 4: Simplify right side
    6,411.92x = 23,664,002.79
  5. Step 5: Solve for x
    x = 23,664,002.79/6,411.92
  6. Step 6: Final answer
    x = 3,690.63

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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.