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Finding the Fourth Proportional to 6,411.85, 9,622.07 and 2,251.87

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Solution

The fourth proportional to 6,411.85, 9,622.07 and 2,251.87 is: 3,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.85 : 9,622.07 = 2,251.87 : x
  2. Step 2: Convert to fraction form
    6,411.85/9,622.07 = 2,251.87/x
  3. Step 3: Cross multiply
    6,411.85x = 9,622.07 × 2,251.87
  4. Step 4: Simplify right side
    6,411.85x = 21,667,650.77
  5. Step 5: Solve for x
    x = 21,667,650.77/6,411.85
  6. Step 6: Final answer
    x = 3,379.31

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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.