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Finding the Fourth Proportional to 6,183.98, 9,273.83 and 4,114.88

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Solution

The fourth proportional to 6,183.98, 9,273.83 and 4,114.88 is: 6,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.98 : 9,273.83 = 4,114.88 : x
  2. Step 2: Convert to fraction form
    6,183.98/9,273.83 = 4,114.88/x
  3. Step 3: Cross multiply
    6,183.98x = 9,273.83 × 4,114.88
  4. Step 4: Simplify right side
    6,183.98x = 38,160,661.51
  5. Step 5: Solve for x
    x = 38,160,661.51/6,183.98
  6. Step 6: Final answer
    x = 6,170.89

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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.