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Finding the Fourth Proportional to 9,126.75, 13,691.01 and 4,197.77

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Solution

The fourth proportional to 9,126.75, 13,691.01 and 4,197.77 is: 6,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.75 : 13,691.01 = 4,197.77 : x
  2. Step 2: Convert to fraction form
    9,126.75/13,691.01 = 4,197.77/x
  3. Step 3: Cross multiply
    9,126.75x = 13,691.01 × 4,197.77
  4. Step 4: Simplify right side
    9,126.75x = 57,471,711.05
  5. Step 5: Solve for x
    x = 57,471,711.05/9,126.75
  6. Step 6: Final answer
    x = 6,297.06

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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.