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Finding the Fourth Proportional to 6,153.86, 9,229.44 and 2,863.82

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Solution

The fourth proportional to 6,153.86, 9,229.44 and 2,863.82 is: 4,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.86 : 9,229.44 = 2,863.82 : x
  2. Step 2: Convert to fraction form
    6,153.86/9,229.44 = 2,863.82/x
  3. Step 3: Cross multiply
    6,153.86x = 9,229.44 × 2,863.82
  4. Step 4: Simplify right side
    6,153.86x = 26,431,454.86
  5. Step 5: Solve for x
    x = 26,431,454.86/6,153.86
  6. Step 6: Final answer
    x = 4,295.10

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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.