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Finding the Fourth Proportional to 6,483.14, 9,724.29 and 3,193.32

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Solution

The fourth proportional to 6,483.14, 9,724.29 and 3,193.32 is: 4,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.14 : 9,724.29 = 3,193.32 : x
  2. Step 2: Convert to fraction form
    6,483.14/9,724.29 = 3,193.32/x
  3. Step 3: Cross multiply
    6,483.14x = 9,724.29 × 3,193.32
  4. Step 4: Simplify right side
    6,483.14x = 31,052,794.23
  5. Step 5: Solve for x
    x = 31,052,794.23/6,483.14
  6. Step 6: Final answer
    x = 4,789.78

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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.