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Finding the Fourth Proportional to 6,550.43, 9,825.74 and 3,647.18

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Solution

The fourth proportional to 6,550.43, 9,825.74 and 3,647.18 is: 5,470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.43 : 9,825.74 = 3,647.18 : x
  2. Step 2: Convert to fraction form
    6,550.43/9,825.74 = 3,647.18/x
  3. Step 3: Cross multiply
    6,550.43x = 9,825.74 × 3,647.18
  4. Step 4: Simplify right side
    6,550.43x = 35,836,248.74
  5. Step 5: Solve for x
    x = 35,836,248.74/6,550.43
  6. Step 6: Final answer
    x = 5,470.83

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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.