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Finding the Fourth Proportional to 6,197.13, 9,296.24 and 1,754.82

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Solution

The fourth proportional to 6,197.13, 9,296.24 and 1,754.82 is: 2,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.13 : 9,296.24 = 1,754.82 : x
  2. Step 2: Convert to fraction form
    6,197.13/9,296.24 = 1,754.82/x
  3. Step 3: Cross multiply
    6,197.13x = 9,296.24 × 1,754.82
  4. Step 4: Simplify right side
    6,197.13x = 16,313,219.10
  5. Step 5: Solve for x
    x = 16,313,219.10/6,197.13
  6. Step 6: Final answer
    x = 2,632.38

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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.