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Finding the Fourth Proportional to 6,164.25, 9,247.74 and 1,781.38

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Solution

The fourth proportional to 6,164.25, 9,247.74 and 1,781.38 is: 2,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.25 : 9,247.74 = 1,781.38 : x
  2. Step 2: Convert to fraction form
    6,164.25/9,247.74 = 1,781.38/x
  3. Step 3: Cross multiply
    6,164.25x = 9,247.74 × 1,781.38
  4. Step 4: Simplify right side
    6,164.25x = 16,473,706.97
  5. Step 5: Solve for x
    x = 16,473,706.97/6,164.25
  6. Step 6: Final answer
    x = 2,672.46

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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.