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Finding the Fourth Proportional to 6,667.39, 9,200.53 and 3,683.21

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Solution

The fourth proportional to 6,667.39, 9,200.53 and 3,683.21 is: 5,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.39 : 9,200.53 = 3,683.21 : x
  2. Step 2: Convert to fraction form
    6,667.39/9,200.53 = 3,683.21/x
  3. Step 3: Cross multiply
    6,667.39x = 9,200.53 × 3,683.21
  4. Step 4: Simplify right side
    6,667.39x = 33,887,442.70
  5. Step 5: Solve for x
    x = 33,887,442.70/6,667.39
  6. Step 6: Final answer
    x = 5,082.56

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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.