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Finding the Fourth Proportional to 6,912.77, 9,539.49 and 3,768.95

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Solution

The fourth proportional to 6,912.77, 9,539.49 and 3,768.95 is: 5,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.77 : 9,539.49 = 3,768.95 : x
  2. Step 2: Convert to fraction form
    6,912.77/9,539.49 = 3,768.95/x
  3. Step 3: Cross multiply
    6,912.77x = 9,539.49 × 3,768.95
  4. Step 4: Simplify right side
    6,912.77x = 35,953,898.82
  5. Step 5: Solve for x
    x = 35,953,898.82/6,912.77
  6. Step 6: Final answer
    x = 5,201.09

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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.