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Finding the Fourth Proportional to 9,197.86, 13,796.06 and 3,355.78

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Solution

The fourth proportional to 9,197.86, 13,796.06 and 3,355.78 is: 5,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.86 : 13,796.06 = 3,355.78 : x
  2. Step 2: Convert to fraction form
    9,197.86/13,796.06 = 3,355.78/x
  3. Step 3: Cross multiply
    9,197.86x = 13,796.06 × 3,355.78
  4. Step 4: Simplify right side
    9,197.86x = 46,296,542.23
  5. Step 5: Solve for x
    x = 46,296,542.23/9,197.86
  6. Step 6: Final answer
    x = 5,033.40

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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.