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Finding the Fourth Proportional to 6,546.66, 9,814.84 and 3,257.96

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Solution

The fourth proportional to 6,546.66, 9,814.84 and 3,257.96 is: 4,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.66 : 9,814.84 = 3,257.96 : x
  2. Step 2: Convert to fraction form
    6,546.66/9,814.84 = 3,257.96/x
  3. Step 3: Cross multiply
    6,546.66x = 9,814.84 × 3,257.96
  4. Step 4: Simplify right side
    6,546.66x = 31,976,356.13
  5. Step 5: Solve for x
    x = 31,976,356.13/6,546.66
  6. Step 6: Final answer
    x = 4,884.38

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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.