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Finding the Fourth Proportional to 6,157.62, 9,236.16 and 1,775.25

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Solution

The fourth proportional to 6,157.62, 9,236.16 and 1,775.25 is: 2,662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.62 : 9,236.16 = 1,775.25 : x
  2. Step 2: Convert to fraction form
    6,157.62/9,236.16 = 1,775.25/x
  3. Step 3: Cross multiply
    6,157.62x = 9,236.16 × 1,775.25
  4. Step 4: Simplify right side
    6,157.62x = 16,396,493.04
  5. Step 5: Solve for x
    x = 16,396,493.04/6,157.62
  6. Step 6: Final answer
    x = 2,662.80

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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.