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Finding the Fourth Proportional to 6,128.68, 9,194.88 and 3,205.36

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Solution

The fourth proportional to 6,128.68, 9,194.88 and 3,205.36 is: 4,809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.68 : 9,194.88 = 3,205.36 : x
  2. Step 2: Convert to fraction form
    6,128.68/9,194.88 = 3,205.36/x
  3. Step 3: Cross multiply
    6,128.68x = 9,194.88 × 3,205.36
  4. Step 4: Simplify right side
    6,128.68x = 29,472,900.56
  5. Step 5: Solve for x
    x = 29,472,900.56/6,128.68
  6. Step 6: Final answer
    x = 4,809.01

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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.