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Finding the Fourth Proportional to 6,381.30, 9,554.67 and 3,296.82

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Solution

The fourth proportional to 6,381.30, 9,554.67 and 3,296.82 is: 4,936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.30 : 9,554.67 = 3,296.82 : x
  2. Step 2: Convert to fraction form
    6,381.30/9,554.67 = 3,296.82/x
  3. Step 3: Cross multiply
    6,381.30x = 9,554.67 × 3,296.82
  4. Step 4: Simplify right side
    6,381.30x = 31,500,027.15
  5. Step 5: Solve for x
    x = 31,500,027.15/6,381.30
  6. Step 6: Final answer
    x = 4,936.30

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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.