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Finding the Fourth Proportional to 6,224.42, 9,318.40 and 6,175.22

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Solution

The fourth proportional to 6,224.42, 9,318.40 and 6,175.22 is: 9,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.42 : 9,318.40 = 6,175.22 : x
  2. Step 2: Convert to fraction form
    6,224.42/9,318.40 = 6,175.22/x
  3. Step 3: Cross multiply
    6,224.42x = 9,318.40 × 6,175.22
  4. Step 4: Simplify right side
    6,224.42x = 57,543,170.05
  5. Step 5: Solve for x
    x = 57,543,170.05/6,224.42
  6. Step 6: Final answer
    x = 9,244.74

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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.