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Finding the Fourth Proportional to 6,232.20, 9,348.24 and 2,769.45

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Solution

The fourth proportional to 6,232.20, 9,348.24 and 2,769.45 is: 4,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.20 : 9,348.24 = 2,769.45 : x
  2. Step 2: Convert to fraction form
    6,232.20/9,348.24 = 2,769.45/x
  3. Step 3: Cross multiply
    6,232.20x = 9,348.24 × 2,769.45
  4. Step 4: Simplify right side
    6,232.20x = 25,889,483.27
  5. Step 5: Solve for x
    x = 25,889,483.27/6,232.20
  6. Step 6: Final answer
    x = 4,154.15

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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.