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Finding the Fourth Proportional to 6,800.24, 9,385.56 and 3,968

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Solution

The fourth proportional to 6,800.24, 9,385.56 and 3,968 is: 5,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.24 : 9,385.56 = 3,968 : x
  2. Step 2: Convert to fraction form
    6,800.24/9,385.56 = 3,968/x
  3. Step 3: Cross multiply
    6,800.24x = 9,385.56 × 3,968
  4. Step 4: Simplify right side
    6,800.24x = 37,241,902.08
  5. Step 5: Solve for x
    x = 37,241,902.08/6,800.24
  6. Step 6: Final answer
    x = 5,476.56

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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.