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Finding the Fourth Proportional to 6,109, 9,147.99 and 5,119.21

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Solution

The fourth proportional to 6,109, 9,147.99 and 5,119.21 is: 7,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109 : 9,147.99 = 5,119.21 : x
  2. Step 2: Convert to fraction form
    6,109/9,147.99 = 5,119.21/x
  3. Step 3: Cross multiply
    6,109x = 9,147.99 × 5,119.21
  4. Step 4: Simplify right side
    6,109x = 46,830,481.89
  5. Step 5: Solve for x
    x = 46,830,481.89/6,109
  6. Step 6: Final answer
    x = 7,665.82

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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.