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Finding the Fourth Proportional to 6,047.93, 9,072.96 and 2,761.36

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Solution

The fourth proportional to 6,047.93, 9,072.96 and 2,761.36 is: 4,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.93 : 9,072.96 = 2,761.36 : x
  2. Step 2: Convert to fraction form
    6,047.93/9,072.96 = 2,761.36/x
  3. Step 3: Cross multiply
    6,047.93x = 9,072.96 × 2,761.36
  4. Step 4: Simplify right side
    6,047.93x = 25,053,691.32
  5. Step 5: Solve for x
    x = 25,053,691.32/6,047.93
  6. Step 6: Final answer
    x = 4,142.52

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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.