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Finding the Fourth Proportional to 6,667.42, 9,200.85 and 3,683.20

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Solution

The fourth proportional to 6,667.42, 9,200.85 and 3,683.20 is: 5,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.42 : 9,200.85 = 3,683.20 : x
  2. Step 2: Convert to fraction form
    6,667.42/9,200.85 = 3,683.20/x
  3. Step 3: Cross multiply
    6,667.42x = 9,200.85 × 3,683.20
  4. Step 4: Simplify right side
    6,667.42x = 33,888,570.72
  5. Step 5: Solve for x
    x = 33,888,570.72/6,667.42
  6. Step 6: Final answer
    x = 5,082.71

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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.