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Finding the Fourth Proportional to 6,012.96, 9,017.15 and 2,313.20

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Solution

The fourth proportional to 6,012.96, 9,017.15 and 2,313.20 is: 3,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.96 : 9,017.15 = 2,313.20 : x
  2. Step 2: Convert to fraction form
    6,012.96/9,017.15 = 2,313.20/x
  3. Step 3: Cross multiply
    6,012.96x = 9,017.15 × 2,313.20
  4. Step 4: Simplify right side
    6,012.96x = 20,858,414.73
  5. Step 5: Solve for x
    x = 20,858,414.73/6,012.96
  6. Step 6: Final answer
    x = 3,468.91

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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.