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Finding the Fourth Proportional to 6,632.62, 9,949.23 and 6,313.43

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Solution

The fourth proportional to 6,632.62, 9,949.23 and 6,313.43 is: 9,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.62 : 9,949.23 = 6,313.43 : x
  2. Step 2: Convert to fraction form
    6,632.62/9,949.23 = 6,313.43/x
  3. Step 3: Cross multiply
    6,632.62x = 9,949.23 × 6,313.43
  4. Step 4: Simplify right side
    6,632.62x = 62,813,736.07
  5. Step 5: Solve for x
    x = 62,813,736.07/6,632.62
  6. Step 6: Final answer
    x = 9,470.43

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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.