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Finding the Fourth Proportional to 9,297.41, 13,942.65 and 3,748.88

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Solution

The fourth proportional to 9,297.41, 13,942.65 and 3,748.88 is: 5,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.41 : 13,942.65 = 3,748.88 : x
  2. Step 2: Convert to fraction form
    9,297.41/13,942.65 = 3,748.88/x
  3. Step 3: Cross multiply
    9,297.41x = 13,942.65 × 3,748.88
  4. Step 4: Simplify right side
    9,297.41x = 52,269,321.73
  5. Step 5: Solve for x
    x = 52,269,321.73/9,297.41
  6. Step 6: Final answer
    x = 5,621.92

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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.