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Finding the Fourth Proportional to 6,914.78, 10,374.24 and 3,219.20

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Solution

The fourth proportional to 6,914.78, 10,374.24 and 3,219.20 is: 4,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.78 : 10,374.24 = 3,219.20 : x
  2. Step 2: Convert to fraction form
    6,914.78/10,374.24 = 3,219.20/x
  3. Step 3: Cross multiply
    6,914.78x = 10,374.24 × 3,219.20
  4. Step 4: Simplify right side
    6,914.78x = 33,396,701.54
  5. Step 5: Solve for x
    x = 33,396,701.54/6,914.78
  6. Step 6: Final answer
    x = 4,829.76

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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.