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Finding the Fourth Proportional to 6,102.96, 8,422.05 and 3,308.46

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Solution

The fourth proportional to 6,102.96, 8,422.05 and 3,308.46 is: 4,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.96 : 8,422.05 = 3,308.46 : x
  2. Step 2: Convert to fraction form
    6,102.96/8,422.05 = 3,308.46/x
  3. Step 3: Cross multiply
    6,102.96x = 8,422.05 × 3,308.46
  4. Step 4: Simplify right side
    6,102.96x = 27,864,015.54
  5. Step 5: Solve for x
    x = 27,864,015.54/6,102.96
  6. Step 6: Final answer
    x = 4,565.66

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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.