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Finding the Fourth Proportional to 9,197.53, 13,785.49 and 4,256.73

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Solution

The fourth proportional to 9,197.53, 13,785.49 and 4,256.73 is: 6,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.53 : 13,785.49 = 4,256.73 : x
  2. Step 2: Convert to fraction form
    9,197.53/13,785.49 = 4,256.73/x
  3. Step 3: Cross multiply
    9,197.53x = 13,785.49 × 4,256.73
  4. Step 4: Simplify right side
    9,197.53x = 58,681,087.56
  5. Step 5: Solve for x
    x = 58,681,087.56/9,197.53
  6. Step 6: Final answer
    x = 6,380.10

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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.