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Finding the Fourth Proportional to 6,229.04, 9,343.49 and 1,846.53

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Solution

The fourth proportional to 6,229.04, 9,343.49 and 1,846.53 is: 2,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.04 : 9,343.49 = 1,846.53 : x
  2. Step 2: Convert to fraction form
    6,229.04/9,343.49 = 1,846.53/x
  3. Step 3: Cross multiply
    6,229.04x = 9,343.49 × 1,846.53
  4. Step 4: Simplify right side
    6,229.04x = 17,253,025.36
  5. Step 5: Solve for x
    x = 17,253,025.36/6,229.04
  6. Step 6: Final answer
    x = 2,769.77

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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.