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Finding the Fourth Proportional to 6,309.81, 9,457.54 and 3,839.19

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Solution

The fourth proportional to 6,309.81, 9,457.54 and 3,839.19 is: 5,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.81 : 9,457.54 = 3,839.19 : x
  2. Step 2: Convert to fraction form
    6,309.81/9,457.54 = 3,839.19/x
  3. Step 3: Cross multiply
    6,309.81x = 9,457.54 × 3,839.19
  4. Step 4: Simplify right side
    6,309.81x = 36,309,245.70
  5. Step 5: Solve for x
    x = 36,309,245.70/6,309.81
  6. Step 6: Final answer
    x = 5,754.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.