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Finding the Fourth Proportional to 6,093.98, 9,141.54 and 1,711.41

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Solution

The fourth proportional to 6,093.98, 9,141.54 and 1,711.41 is: 2,567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.98 : 9,141.54 = 1,711.41 : x
  2. Step 2: Convert to fraction form
    6,093.98/9,141.54 = 1,711.41/x
  3. Step 3: Cross multiply
    6,093.98x = 9,141.54 × 1,711.41
  4. Step 4: Simplify right side
    6,093.98x = 15,644,922.97
  5. Step 5: Solve for x
    x = 15,644,922.97/6,093.98
  6. Step 6: Final answer
    x = 2,567.28

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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.