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Finding the Fourth Proportional to 6,102.73, 8,421.78 and 3,308.23

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Solution

The fourth proportional to 6,102.73, 8,421.78 and 3,308.23 is: 4,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.73 : 8,421.78 = 3,308.23 : x
  2. Step 2: Convert to fraction form
    6,102.73/8,421.78 = 3,308.23/x
  3. Step 3: Cross multiply
    6,102.73x = 8,421.78 × 3,308.23
  4. Step 4: Simplify right side
    6,102.73x = 27,861,206.30
  5. Step 5: Solve for x
    x = 27,861,206.30/6,102.73
  6. Step 6: Final answer
    x = 4,565.37

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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.