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Finding the Fourth Proportional to 6,091.88, 9,134.69 and 2,972.02

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Solution

The fourth proportional to 6,091.88, 9,134.69 and 2,972.02 is: 4,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.88 : 9,134.69 = 2,972.02 : x
  2. Step 2: Convert to fraction form
    6,091.88/9,134.69 = 2,972.02/x
  3. Step 3: Cross multiply
    6,091.88x = 9,134.69 × 2,972.02
  4. Step 4: Simplify right side
    6,091.88x = 27,148,481.37
  5. Step 5: Solve for x
    x = 27,148,481.37/6,091.88
  6. Step 6: Final answer
    x = 4,456.50

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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.