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Finding the Fourth Proportional to 6,093.52, 9,139.57 and 1,711.35

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Solution

The fourth proportional to 6,093.52, 9,139.57 and 1,711.35 is: 2,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.52 : 9,139.57 = 1,711.35 : x
  2. Step 2: Convert to fraction form
    6,093.52/9,139.57 = 1,711.35/x
  3. Step 3: Cross multiply
    6,093.52x = 9,139.57 × 1,711.35
  4. Step 4: Simplify right side
    6,093.52x = 15,640,998.84
  5. Step 5: Solve for x
    x = 15,640,998.84/6,093.52
  6. Step 6: Final answer
    x = 2,566.83

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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.