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Finding the Fourth Proportional to 6,795, 9,380.94 and 5,136.12

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Solution

The fourth proportional to 6,795, 9,380.94 and 5,136.12 is: 7,090.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795 : 9,380.94 = 5,136.12 : x
  2. Step 2: Convert to fraction form
    6,795/9,380.94 = 5,136.12/x
  3. Step 3: Cross multiply
    6,795x = 9,380.94 × 5,136.12
  4. Step 4: Simplify right side
    6,795x = 48,181,633.55
  5. Step 5: Solve for x
    x = 48,181,633.55/6,795
  6. Step 6: Final answer
    x = 7,090.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.