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Finding the Fourth Proportional to 6,662.53, 9,194.73 and 3,830.83

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Solution

The fourth proportional to 6,662.53, 9,194.73 and 3,830.83 is: 5,286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.53 : 9,194.73 = 3,830.83 : x
  2. Step 2: Convert to fraction form
    6,662.53/9,194.73 = 3,830.83/x
  3. Step 3: Cross multiply
    6,662.53x = 9,194.73 × 3,830.83
  4. Step 4: Simplify right side
    6,662.53x = 35,223,470.51
  5. Step 5: Solve for x
    x = 35,223,470.51/6,662.53
  6. Step 6: Final answer
    x = 5,286.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.