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Finding the Fourth Proportional to 9,205.38, 13,805.12 and 3,940.28

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Solution

The fourth proportional to 9,205.38, 13,805.12 and 3,940.28 is: 5,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.38 : 13,805.12 = 3,940.28 : x
  2. Step 2: Convert to fraction form
    9,205.38/13,805.12 = 3,940.28/x
  3. Step 3: Cross multiply
    9,205.38x = 13,805.12 × 3,940.28
  4. Step 4: Simplify right side
    9,205.38x = 54,396,038.23
  5. Step 5: Solve for x
    x = 54,396,038.23/9,205.38
  6. Step 6: Final answer
    x = 5,909.16

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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.