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Finding the Fourth Proportional to 9,268.00, 13,900.84 and 3,027.49

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Solution

The fourth proportional to 9,268.00, 13,900.84 and 3,027.49 is: 4,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.00 : 13,900.84 = 3,027.49 : x
  2. Step 2: Convert to fraction form
    9,268.00/13,900.84 = 3,027.49/x
  3. Step 3: Cross multiply
    9,268.00x = 13,900.84 × 3,027.49
  4. Step 4: Simplify right side
    9,268.00x = 42,084,611.77
  5. Step 5: Solve for x
    x = 42,084,611.77/9,268.00
  6. Step 6: Final answer
    x = 4,540.85

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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.