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Finding the Fourth Proportional to 6,282.96, 9,416.61 and 2,583.15

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Solution

The fourth proportional to 6,282.96, 9,416.61 and 2,583.15 is: 3,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.96 : 9,416.61 = 2,583.15 : x
  2. Step 2: Convert to fraction form
    6,282.96/9,416.61 = 2,583.15/x
  3. Step 3: Cross multiply
    6,282.96x = 9,416.61 × 2,583.15
  4. Step 4: Simplify right side
    6,282.96x = 24,324,516.12
  5. Step 5: Solve for x
    x = 24,324,516.12/6,282.96
  6. Step 6: Final answer
    x = 3,871.51

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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.