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Finding the Fourth Proportional to 6,667.30, 9,200.82 and 3,683.11

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Solution

The fourth proportional to 6,667.30, 9,200.82 and 3,683.11 is: 5,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.30 : 9,200.82 = 3,683.11 : x
  2. Step 2: Convert to fraction form
    6,667.30/9,200.82 = 3,683.11/x
  3. Step 3: Cross multiply
    6,667.30x = 9,200.82 × 3,683.11
  4. Step 4: Simplify right side
    6,667.30x = 33,887,632.15
  5. Step 5: Solve for x
    x = 33,887,632.15/6,667.30
  6. Step 6: Final answer
    x = 5,082.66

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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.