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Finding the Fourth Proportional to 6,197.47, 9,296.73 and 1,981.33

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Solution

The fourth proportional to 6,197.47, 9,296.73 and 1,981.33 is: 2,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.47 : 9,296.73 = 1,981.33 : x
  2. Step 2: Convert to fraction form
    6,197.47/9,296.73 = 1,981.33/x
  3. Step 3: Cross multiply
    6,197.47x = 9,296.73 × 1,981.33
  4. Step 4: Simplify right side
    6,197.47x = 18,419,890.05
  5. Step 5: Solve for x
    x = 18,419,890.05/6,197.47
  6. Step 6: Final answer
    x = 2,972.16

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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.