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Finding the Fourth Proportional to 6,083.28, 9,123 and 3,860.56

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Solution

The fourth proportional to 6,083.28, 9,123 and 3,860.56 is: 5,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.28 : 9,123 = 3,860.56 : x
  2. Step 2: Convert to fraction form
    6,083.28/9,123 = 3,860.56/x
  3. Step 3: Cross multiply
    6,083.28x = 9,123 × 3,860.56
  4. Step 4: Simplify right side
    6,083.28x = 35,219,888.88
  5. Step 5: Solve for x
    x = 35,219,888.88/6,083.28
  6. Step 6: Final answer
    x = 5,789.62

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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.