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Finding the Fourth Proportional to 9,400.50, 14,107.83 and 6,431.85

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Solution

The fourth proportional to 9,400.50, 14,107.83 and 6,431.85 is: 9,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.50 : 14,107.83 = 6,431.85 : x
  2. Step 2: Convert to fraction form
    9,400.50/14,107.83 = 6,431.85/x
  3. Step 3: Cross multiply
    9,400.50x = 14,107.83 × 6,431.85
  4. Step 4: Simplify right side
    9,400.50x = 90,739,446.39
  5. Step 5: Solve for x
    x = 90,739,446.39/9,400.50
  6. Step 6: Final answer
    x = 9,652.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.