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Finding the Fourth Proportional to 9,600.62, 13,240.71 and 6,241.74

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Solution

The fourth proportional to 9,600.62, 13,240.71 and 6,241.74 is: 8,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.62 : 13,240.71 = 6,241.74 : x
  2. Step 2: Convert to fraction form
    9,600.62/13,240.71 = 6,241.74/x
  3. Step 3: Cross multiply
    9,600.62x = 13,240.71 × 6,241.74
  4. Step 4: Simplify right side
    9,600.62x = 82,645,069.24
  5. Step 5: Solve for x
    x = 82,645,069.24/9,600.62
  6. Step 6: Final answer
    x = 8,608.31

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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.