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Finding the Fourth Proportional to 6,331.16, 8,732.02 and 5,906.75

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Solution

The fourth proportional to 6,331.16, 8,732.02 and 5,906.75 is: 8,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.16 : 8,732.02 = 5,906.75 : x
  2. Step 2: Convert to fraction form
    6,331.16/8,732.02 = 5,906.75/x
  3. Step 3: Cross multiply
    6,331.16x = 8,732.02 × 5,906.75
  4. Step 4: Simplify right side
    6,331.16x = 51,577,859.14
  5. Step 5: Solve for x
    x = 51,577,859.14/6,331.16
  6. Step 6: Final answer
    x = 8,146.67

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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.