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Finding the Fourth Proportional to 6,513.31, 8,989.50 and 3,861.64

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Solution

The fourth proportional to 6,513.31, 8,989.50 and 3,861.64 is: 5,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.31 : 8,989.50 = 3,861.64 : x
  2. Step 2: Convert to fraction form
    6,513.31/8,989.50 = 3,861.64/x
  3. Step 3: Cross multiply
    6,513.31x = 8,989.50 × 3,861.64
  4. Step 4: Simplify right side
    6,513.31x = 34,714,212.78
  5. Step 5: Solve for x
    x = 34,714,212.78/6,513.31
  6. Step 6: Final answer
    x = 5,329.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.