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Finding the Fourth Proportional to 9,197.82, 13,796.73 and 4,003.70

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Solution

The fourth proportional to 9,197.82, 13,796.73 and 4,003.70 is: 6,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.82 : 13,796.73 = 4,003.70 : x
  2. Step 2: Convert to fraction form
    9,197.82/13,796.73 = 4,003.70/x
  3. Step 3: Cross multiply
    9,197.82x = 13,796.73 × 4,003.70
  4. Step 4: Simplify right side
    9,197.82x = 55,237,898.92
  5. Step 5: Solve for x
    x = 55,237,898.92/9,197.82
  6. Step 6: Final answer
    x = 6,005.54

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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.