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Finding the Fourth Proportional to 6,069.74, 9,105.82 and 1,910.39

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Solution

The fourth proportional to 6,069.74, 9,105.82 and 1,910.39 is: 2,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.74 : 9,105.82 = 1,910.39 : x
  2. Step 2: Convert to fraction form
    6,069.74/9,105.82 = 1,910.39/x
  3. Step 3: Cross multiply
    6,069.74x = 9,105.82 × 1,910.39
  4. Step 4: Simplify right side
    6,069.74x = 17,395,617.16
  5. Step 5: Solve for x
    x = 17,395,617.16/6,069.74
  6. Step 6: Final answer
    x = 2,865.96

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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.