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Finding the Fourth Proportional to 6,912.40, 9,539.24 and 3,768.60

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Solution

The fourth proportional to 6,912.40, 9,539.24 and 3,768.60 is: 5,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.40 : 9,539.24 = 3,768.60 : x
  2. Step 2: Convert to fraction form
    6,912.40/9,539.24 = 3,768.60/x
  3. Step 3: Cross multiply
    6,912.40x = 9,539.24 × 3,768.60
  4. Step 4: Simplify right side
    6,912.40x = 35,949,579.86
  5. Step 5: Solve for x
    x = 35,949,579.86/6,912.40
  6. Step 6: Final answer
    x = 5,200.74

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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.