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Finding the Fourth Proportional to 6,305.97, 9,464.79 and 3,188.18

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Solution

The fourth proportional to 6,305.97, 9,464.79 and 3,188.18 is: 4,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.97 : 9,464.79 = 3,188.18 : x
  2. Step 2: Convert to fraction form
    6,305.97/9,464.79 = 3,188.18/x
  3. Step 3: Cross multiply
    6,305.97x = 9,464.79 × 3,188.18
  4. Step 4: Simplify right side
    6,305.97x = 30,175,406.86
  5. Step 5: Solve for x
    x = 30,175,406.86/6,305.97
  6. Step 6: Final answer
    x = 4,785.21

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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.