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Finding the Fourth Proportional to 6,170.67, 9,255.38 and 2,884.41

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Solution

The fourth proportional to 6,170.67, 9,255.38 and 2,884.41 is: 4,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.67 : 9,255.38 = 2,884.41 : x
  2. Step 2: Convert to fraction form
    6,170.67/9,255.38 = 2,884.41/x
  3. Step 3: Cross multiply
    6,170.67x = 9,255.38 × 2,884.41
  4. Step 4: Simplify right side
    6,170.67x = 26,696,296.20
  5. Step 5: Solve for x
    x = 26,696,296.20/6,170.67
  6. Step 6: Final answer
    x = 4,326.32

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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.