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Finding the Fourth Proportional to 6,183.94, 9,220.76 and 5,497.06

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Solution

The fourth proportional to 6,183.94, 9,220.76 and 5,497.06 is: 8,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.94 : 9,220.76 = 5,497.06 : x
  2. Step 2: Convert to fraction form
    6,183.94/9,220.76 = 5,497.06/x
  3. Step 3: Cross multiply
    6,183.94x = 9,220.76 × 5,497.06
  4. Step 4: Simplify right side
    6,183.94x = 50,687,070.97
  5. Step 5: Solve for x
    x = 50,687,070.97/6,183.94
  6. Step 6: Final answer
    x = 8,196.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.