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Finding the Fourth Proportional to 6,764.70, 9,299.44 and 5,817.02

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Solution

The fourth proportional to 6,764.70, 9,299.44 and 5,817.02 is: 7,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.70 : 9,299.44 = 5,817.02 : x
  2. Step 2: Convert to fraction form
    6,764.70/9,299.44 = 5,817.02/x
  3. Step 3: Cross multiply
    6,764.70x = 9,299.44 × 5,817.02
  4. Step 4: Simplify right side
    6,764.70x = 54,095,028.47
  5. Step 5: Solve for x
    x = 54,095,028.47/6,764.70
  6. Step 6: Final answer
    x = 7,996.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.