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Finding the Fourth Proportional to 9,380.16, 14,067.41 and 3,138.57

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Solution

The fourth proportional to 9,380.16, 14,067.41 and 3,138.57 is: 4,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.16 : 14,067.41 = 3,138.57 : x
  2. Step 2: Convert to fraction form
    9,380.16/14,067.41 = 3,138.57/x
  3. Step 3: Cross multiply
    9,380.16x = 14,067.41 × 3,138.57
  4. Step 4: Simplify right side
    9,380.16x = 44,151,535.31
  5. Step 5: Solve for x
    x = 44,151,535.31/9,380.16
  6. Step 6: Final answer
    x = 4,706.91

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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.