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Finding the Fourth Proportional to 6,288.57, 9,434.22 and 1,906.37

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Solution

The fourth proportional to 6,288.57, 9,434.22 and 1,906.37 is: 2,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.57 : 9,434.22 = 1,906.37 : x
  2. Step 2: Convert to fraction form
    6,288.57/9,434.22 = 1,906.37/x
  3. Step 3: Cross multiply
    6,288.57x = 9,434.22 × 1,906.37
  4. Step 4: Simplify right side
    6,288.57x = 17,985,113.98
  5. Step 5: Solve for x
    x = 17,985,113.98/6,288.57
  6. Step 6: Final answer
    x = 2,859.97

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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.