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Finding the Fourth Proportional to 6,176.75, 9,241.89 and 4,331.47

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Solution

The fourth proportional to 6,176.75, 9,241.89 and 4,331.47 is: 6,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.75 : 9,241.89 = 4,331.47 : x
  2. Step 2: Convert to fraction form
    6,176.75/9,241.89 = 4,331.47/x
  3. Step 3: Cross multiply
    6,176.75x = 9,241.89 × 4,331.47
  4. Step 4: Simplify right side
    6,176.75x = 40,030,947.62
  5. Step 5: Solve for x
    x = 40,030,947.62/6,176.75
  6. Step 6: Final answer
    x = 6,480.91

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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.