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Finding the Fourth Proportional to 6,912.70, 9,539.49 and 3,768.86

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Solution

The fourth proportional to 6,912.70, 9,539.49 and 3,768.86 is: 5,201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.70 : 9,539.49 = 3,768.86 : x
  2. Step 2: Convert to fraction form
    6,912.70/9,539.49 = 3,768.86/x
  3. Step 3: Cross multiply
    6,912.70x = 9,539.49 × 3,768.86
  4. Step 4: Simplify right side
    6,912.70x = 35,953,002.28
  5. Step 5: Solve for x
    x = 35,953,002.28/6,912.70
  6. Step 6: Final answer
    x = 5,201.01

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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.