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Finding the Fourth Proportional to 6,201.65, 9,302.97 and 2,912.95

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Solution

The fourth proportional to 6,201.65, 9,302.97 and 2,912.95 is: 4,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.65 : 9,302.97 = 2,912.95 : x
  2. Step 2: Convert to fraction form
    6,201.65/9,302.97 = 2,912.95/x
  3. Step 3: Cross multiply
    6,201.65x = 9,302.97 × 2,912.95
  4. Step 4: Simplify right side
    6,201.65x = 27,099,039.95
  5. Step 5: Solve for x
    x = 27,099,039.95/6,201.65
  6. Step 6: Final answer
    x = 4,369.65

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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.