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Finding the Fourth Proportional to 6,157.80, 9,233.64 and 2,647.44

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Solution

The fourth proportional to 6,157.80, 9,233.64 and 2,647.44 is: 3,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.80 : 9,233.64 = 2,647.44 : x
  2. Step 2: Convert to fraction form
    6,157.80/9,233.64 = 2,647.44/x
  3. Step 3: Cross multiply
    6,157.80x = 9,233.64 × 2,647.44
  4. Step 4: Simplify right side
    6,157.80x = 24,445,507.88
  5. Step 5: Solve for x
    x = 24,445,507.88/6,157.80
  6. Step 6: Final answer
    x = 3,969.84

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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.