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Finding the Fourth Proportional to 6,358.36, 9,535.22 and 2,197.12

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Solution

The fourth proportional to 6,358.36, 9,535.22 and 2,197.12 is: 3,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.36 : 9,535.22 = 2,197.12 : x
  2. Step 2: Convert to fraction form
    6,358.36/9,535.22 = 2,197.12/x
  3. Step 3: Cross multiply
    6,358.36x = 9,535.22 × 2,197.12
  4. Step 4: Simplify right side
    6,358.36x = 20,950,022.57
  5. Step 5: Solve for x
    x = 20,950,022.57/6,358.36
  6. Step 6: Final answer
    x = 3,294.88

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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.