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Finding the Fourth Proportional to 6,844.67, 9,444.78 and 4,013

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Solution

The fourth proportional to 6,844.67, 9,444.78 and 4,013 is: 5,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.67 : 9,444.78 = 4,013 : x
  2. Step 2: Convert to fraction form
    6,844.67/9,444.78 = 4,013/x
  3. Step 3: Cross multiply
    6,844.67x = 9,444.78 × 4,013
  4. Step 4: Simplify right side
    6,844.67x = 37,901,902.14
  5. Step 5: Solve for x
    x = 37,901,902.14/6,844.67
  6. Step 6: Final answer
    x = 5,537.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.