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Finding the Fourth Proportional to 6,309.05, 8,705.66 and 3,756.42

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Solution

The fourth proportional to 6,309.05, 8,705.66 and 3,756.42 is: 5,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.05 : 8,705.66 = 3,756.42 : x
  2. Step 2: Convert to fraction form
    6,309.05/8,705.66 = 3,756.42/x
  3. Step 3: Cross multiply
    6,309.05x = 8,705.66 × 3,756.42
  4. Step 4: Simplify right side
    6,309.05x = 32,702,096.56
  5. Step 5: Solve for x
    x = 32,702,096.56/6,309.05
  6. Step 6: Final answer
    x = 5,183.37

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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.