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Finding the Fourth Proportional to 6,000.09, 8,220.17 and 5,775.67

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Solution

The fourth proportional to 6,000.09, 8,220.17 and 5,775.67 is: 7,912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.09 : 8,220.17 = 5,775.67 : x
  2. Step 2: Convert to fraction form
    6,000.09/8,220.17 = 5,775.67/x
  3. Step 3: Cross multiply
    6,000.09x = 8,220.17 × 5,775.67
  4. Step 4: Simplify right side
    6,000.09x = 47,476,989.26
  5. Step 5: Solve for x
    x = 47,476,989.26/6,000.09
  6. Step 6: Final answer
    x = 7,912.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.