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Finding the Fourth Proportional to 6,683.92, 9,222.66 and 3,850.94

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Solution

The fourth proportional to 6,683.92, 9,222.66 and 3,850.94 is: 5,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.92 : 9,222.66 = 3,850.94 : x
  2. Step 2: Convert to fraction form
    6,683.92/9,222.66 = 3,850.94/x
  3. Step 3: Cross multiply
    6,683.92x = 9,222.66 × 3,850.94
  4. Step 4: Simplify right side
    6,683.92x = 35,515,933.36
  5. Step 5: Solve for x
    x = 35,515,933.36/6,683.92
  6. Step 6: Final answer
    x = 5,313.64

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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.