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Finding the Fourth Proportional to 6,550.31, 9,816.17 and 3,777.68

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Solution

The fourth proportional to 6,550.31, 9,816.17 and 3,777.68 is: 5,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.31 : 9,816.17 = 3,777.68 : x
  2. Step 2: Convert to fraction form
    6,550.31/9,816.17 = 3,777.68/x
  3. Step 3: Cross multiply
    6,550.31x = 9,816.17 × 3,777.68
  4. Step 4: Simplify right side
    6,550.31x = 37,082,281.12
  5. Step 5: Solve for x
    x = 37,082,281.12/6,550.31
  6. Step 6: Final answer
    x = 5,661.15

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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.