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Finding the Fourth Proportional to 9,229.42, 13,843.74 and 4,297.36

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Solution

The fourth proportional to 9,229.42, 13,843.74 and 4,297.36 is: 6,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.42 : 13,843.74 = 4,297.36 : x
  2. Step 2: Convert to fraction form
    9,229.42/13,843.74 = 4,297.36/x
  3. Step 3: Cross multiply
    9,229.42x = 13,843.74 × 4,297.36
  4. Step 4: Simplify right side
    9,229.42x = 59,491,534.53
  5. Step 5: Solve for x
    x = 59,491,534.53/9,229.42
  6. Step 6: Final answer
    x = 6,445.86

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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.