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Finding the Fourth Proportional to 6,233.04, 9,343.80 and 2,768.40

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Solution

The fourth proportional to 6,233.04, 9,343.80 and 2,768.40 is: 4,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.04 : 9,343.80 = 2,768.40 : x
  2. Step 2: Convert to fraction form
    6,233.04/9,343.80 = 2,768.40/x
  3. Step 3: Cross multiply
    6,233.04x = 9,343.80 × 2,768.40
  4. Step 4: Simplify right side
    6,233.04x = 25,867,375.92
  5. Step 5: Solve for x
    x = 25,867,375.92/6,233.04
  6. Step 6: Final answer
    x = 4,150.04

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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.