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Finding the Fourth Proportional to 6,164.75, 9,250.56 and 2,467.25

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Solution

The fourth proportional to 6,164.75, 9,250.56 and 2,467.25 is: 3,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.75 : 9,250.56 = 2,467.25 : x
  2. Step 2: Convert to fraction form
    6,164.75/9,250.56 = 2,467.25/x
  3. Step 3: Cross multiply
    6,164.75x = 9,250.56 × 2,467.25
  4. Step 4: Simplify right side
    6,164.75x = 22,823,397.91
  5. Step 5: Solve for x
    x = 22,823,397.91/6,164.75
  6. Step 6: Final answer
    x = 3,702.25

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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.