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Finding the Fourth Proportional to 6,093.89, 9,141.96 and 1,934.96

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Solution

The fourth proportional to 6,093.89, 9,141.96 and 1,934.96 is: 2,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.89 : 9,141.96 = 1,934.96 : x
  2. Step 2: Convert to fraction form
    6,093.89/9,141.96 = 1,934.96/x
  3. Step 3: Cross multiply
    6,093.89x = 9,141.96 × 1,934.96
  4. Step 4: Simplify right side
    6,093.89x = 17,689,326.92
  5. Step 5: Solve for x
    x = 17,689,326.92/6,093.89
  6. Step 6: Final answer
    x = 2,902.80

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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.