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Finding the Fourth Proportional to 6,100.32, 9,150.38 and 1,940.26

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Solution

The fourth proportional to 6,100.32, 9,150.38 and 1,940.26 is: 2,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.32 : 9,150.38 = 1,940.26 : x
  2. Step 2: Convert to fraction form
    6,100.32/9,150.38 = 1,940.26/x
  3. Step 3: Cross multiply
    6,100.32x = 9,150.38 × 1,940.26
  4. Step 4: Simplify right side
    6,100.32x = 17,754,129.47
  5. Step 5: Solve for x
    x = 17,754,129.47/6,100.32
  6. Step 6: Final answer
    x = 2,910.36

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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.