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Finding the Fourth Proportional to 6,241.59, 9,336.74 and 5,694.15

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Solution

The fourth proportional to 6,241.59, 9,336.74 and 5,694.15 is: 8,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.59 : 9,336.74 = 5,694.15 : x
  2. Step 2: Convert to fraction form
    6,241.59/9,336.74 = 5,694.15/x
  3. Step 3: Cross multiply
    6,241.59x = 9,336.74 × 5,694.15
  4. Step 4: Simplify right side
    6,241.59x = 53,164,769.60
  5. Step 5: Solve for x
    x = 53,164,769.60/6,241.59
  6. Step 6: Final answer
    x = 8,517.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.