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Finding the Fourth Proportional to 6,210.96, 9,314.10 and 3,867.54

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Solution

The fourth proportional to 6,210.96, 9,314.10 and 3,867.54 is: 5,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210.96 : 9,314.10 = 3,867.54 : x
  2. Step 2: Convert to fraction form
    6,210.96/9,314.10 = 3,867.54/x
  3. Step 3: Cross multiply
    6,210.96x = 9,314.10 × 3,867.54
  4. Step 4: Simplify right side
    6,210.96x = 36,022,654.31
  5. Step 5: Solve for x
    x = 36,022,654.31/6,210.96
  6. Step 6: Final answer
    x = 5,799.85

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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.