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Finding the Fourth Proportional to 6,122.52, 9,183.70 and 1,505.56

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Solution

The fourth proportional to 6,122.52, 9,183.70 and 1,505.56 is: 2,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.52 : 9,183.70 = 1,505.56 : x
  2. Step 2: Convert to fraction form
    6,122.52/9,183.70 = 1,505.56/x
  3. Step 3: Cross multiply
    6,122.52x = 9,183.70 × 1,505.56
  4. Step 4: Simplify right side
    6,122.52x = 13,826,611.37
  5. Step 5: Solve for x
    x = 13,826,611.37/6,122.52
  6. Step 6: Final answer
    x = 2,258.32

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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.