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Finding the Fourth Proportional to 9,205.37, 13,807.78 and 2,542.27

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Solution

The fourth proportional to 9,205.37, 13,807.78 and 2,542.27 is: 3,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.37 : 13,807.78 = 2,542.27 : x
  2. Step 2: Convert to fraction form
    9,205.37/13,807.78 = 2,542.27/x
  3. Step 3: Cross multiply
    9,205.37x = 13,807.78 × 2,542.27
  4. Step 4: Simplify right side
    9,205.37x = 35,103,139.38
  5. Step 5: Solve for x
    x = 35,103,139.38/9,205.37
  6. Step 6: Final answer
    x = 3,813.33

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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.