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Finding the Fourth Proportional to 9,205.25, 13,813.34 and 3,661.20

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Solution

The fourth proportional to 9,205.25, 13,813.34 and 3,661.20 is: 5,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.25 : 13,813.34 = 3,661.20 : x
  2. Step 2: Convert to fraction form
    9,205.25/13,813.34 = 3,661.20/x
  3. Step 3: Cross multiply
    9,205.25x = 13,813.34 × 3,661.20
  4. Step 4: Simplify right side
    9,205.25x = 50,573,382.10
  5. Step 5: Solve for x
    x = 50,573,382.10/9,205.25
  6. Step 6: Final answer
    x = 5,493.97

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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.