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Finding the Fourth Proportional to 9,183.71, 13,773.78 and 3,917.70

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Solution

The fourth proportional to 9,183.71, 13,773.78 and 3,917.70 is: 5,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.71 : 13,773.78 = 3,917.70 : x
  2. Step 2: Convert to fraction form
    9,183.71/13,773.78 = 3,917.70/x
  3. Step 3: Cross multiply
    9,183.71x = 13,773.78 × 3,917.70
  4. Step 4: Simplify right side
    9,183.71x = 53,961,537.91
  5. Step 5: Solve for x
    x = 53,961,537.91/9,183.71
  6. Step 6: Final answer
    x = 5,875.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.