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Finding the Fourth Proportional to 6,287.09, 9,422.40 and 3,170.60

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Solution

The fourth proportional to 6,287.09, 9,422.40 and 3,170.60 is: 4,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.09 : 9,422.40 = 3,170.60 : x
  2. Step 2: Convert to fraction form
    6,287.09/9,422.40 = 3,170.60/x
  3. Step 3: Cross multiply
    6,287.09x = 9,422.40 × 3,170.60
  4. Step 4: Simplify right side
    6,287.09x = 29,874,661.44
  5. Step 5: Solve for x
    x = 29,874,661.44/6,287.09
  6. Step 6: Final answer
    x = 4,751.75

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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.