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Finding the Fourth Proportional to 6,450.73, 9,632.42 and 5,119.55

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Solution

The fourth proportional to 6,450.73, 9,632.42 and 5,119.55 is: 7,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.73 : 9,632.42 = 5,119.55 : x
  2. Step 2: Convert to fraction form
    6,450.73/9,632.42 = 5,119.55/x
  3. Step 3: Cross multiply
    6,450.73x = 9,632.42 × 5,119.55
  4. Step 4: Simplify right side
    6,450.73x = 49,313,637.37
  5. Step 5: Solve for x
    x = 49,313,637.37/6,450.73
  6. Step 6: Final answer
    x = 7,644.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.