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Finding the Fourth Proportional to 6,205.62, 9,301.41 and 2,505.54

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Solution

The fourth proportional to 6,205.62, 9,301.41 and 2,505.54 is: 3,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.62 : 9,301.41 = 2,505.54 : x
  2. Step 2: Convert to fraction form
    6,205.62/9,301.41 = 2,505.54/x
  3. Step 3: Cross multiply
    6,205.62x = 9,301.41 × 2,505.54
  4. Step 4: Simplify right side
    6,205.62x = 23,305,054.81
  5. Step 5: Solve for x
    x = 23,305,054.81/6,205.62
  6. Step 6: Final answer
    x = 3,755.48

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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.