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Finding the Fourth Proportional to 9,997.92, 13,792.68 and 5,803.92

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Solution

The fourth proportional to 9,997.92, 13,792.68 and 5,803.92 is: 8,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.92 : 13,792.68 = 5,803.92 : x
  2. Step 2: Convert to fraction form
    9,997.92/13,792.68 = 5,803.92/x
  3. Step 3: Cross multiply
    9,997.92x = 13,792.68 × 5,803.92
  4. Step 4: Simplify right side
    9,997.92x = 80,051,611.31
  5. Step 5: Solve for x
    x = 80,051,611.31/9,997.92
  6. Step 6: Final answer
    x = 8,006.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.