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Finding the Fourth Proportional to 6,380.56, 9,556.99 and 3,086.75

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Solution

The fourth proportional to 6,380.56, 9,556.99 and 3,086.75 is: 4,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.56 : 9,556.99 = 3,086.75 : x
  2. Step 2: Convert to fraction form
    6,380.56/9,556.99 = 3,086.75/x
  3. Step 3: Cross multiply
    6,380.56x = 9,556.99 × 3,086.75
  4. Step 4: Simplify right side
    6,380.56x = 29,500,038.88
  5. Step 5: Solve for x
    x = 29,500,038.88/6,380.56
  6. Step 6: Final answer
    x = 4,623.42

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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.