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Finding the Fourth Proportional to 9,027, 13,538.70 and 3,183.84

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Solution

The fourth proportional to 9,027, 13,538.70 and 3,183.84 is: 4,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027 : 13,538.70 = 3,183.84 : x
  2. Step 2: Convert to fraction form
    9,027/13,538.70 = 3,183.84/x
  3. Step 3: Cross multiply
    9,027x = 13,538.70 × 3,183.84
  4. Step 4: Simplify right side
    9,027x = 43,105,054.61
  5. Step 5: Solve for x
    x = 43,105,054.61/9,027
  6. Step 6: Final answer
    x = 4,775.13

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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.