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Finding the Fourth Proportional to 6,733.74, 9,293.68 and 3,902.39

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Solution

The fourth proportional to 6,733.74, 9,293.68 and 3,902.39 is: 5,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.74 : 9,293.68 = 3,902.39 : x
  2. Step 2: Convert to fraction form
    6,733.74/9,293.68 = 3,902.39/x
  3. Step 3: Cross multiply
    6,733.74x = 9,293.68 × 3,902.39
  4. Step 4: Simplify right side
    6,733.74x = 36,267,563.90
  5. Step 5: Solve for x
    x = 36,267,563.90/6,733.74
  6. Step 6: Final answer
    x = 5,385.95

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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.