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Finding the Fourth Proportional to 6,310.86, 9,466.33 and 2,611.09

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Solution

The fourth proportional to 6,310.86, 9,466.33 and 2,611.09 is: 3,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.86 : 9,466.33 = 2,611.09 : x
  2. Step 2: Convert to fraction form
    6,310.86/9,466.33 = 2,611.09/x
  3. Step 3: Cross multiply
    6,310.86x = 9,466.33 × 2,611.09
  4. Step 4: Simplify right side
    6,310.86x = 24,717,439.60
  5. Step 5: Solve for x
    x = 24,717,439.60/6,310.86
  6. Step 6: Final answer
    x = 3,916.65

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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.