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Finding the Fourth Proportional to 6,232.80, 9,342.72 and 2,766

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Solution

The fourth proportional to 6,232.80, 9,342.72 and 2,766 is: 4,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.80 : 9,342.72 = 2,766 : x
  2. Step 2: Convert to fraction form
    6,232.80/9,342.72 = 2,766/x
  3. Step 3: Cross multiply
    6,232.80x = 9,342.72 × 2,766
  4. Step 4: Simplify right side
    6,232.80x = 25,841,963.52
  5. Step 5: Solve for x
    x = 25,841,963.52/6,232.80
  6. Step 6: Final answer
    x = 4,146.12

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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.