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Finding the Fourth Proportional to 6,183, 9,266.06 and 2,849.31

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Solution

The fourth proportional to 6,183, 9,266.06 and 2,849.31 is: 4,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183 : 9,266.06 = 2,849.31 : x
  2. Step 2: Convert to fraction form
    6,183/9,266.06 = 2,849.31/x
  3. Step 3: Cross multiply
    6,183x = 9,266.06 × 2,849.31
  4. Step 4: Simplify right side
    6,183x = 26,401,884.54
  5. Step 5: Solve for x
    x = 26,401,884.54/6,183
  6. Step 6: Final answer
    x = 4,270.08

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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.