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Finding the Fourth Proportional to 9,440.97, 14,163.35 and 5,286.89

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Solution

The fourth proportional to 9,440.97, 14,163.35 and 5,286.89 is: 7,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,440.97 : 14,163.35 = 5,286.89 : x
  2. Step 2: Convert to fraction form
    9,440.97/14,163.35 = 5,286.89/x
  3. Step 3: Cross multiply
    9,440.97x = 14,163.35 × 5,286.89
  4. Step 4: Simplify right side
    9,440.97x = 74,879,976.23
  5. Step 5: Solve for x
    x = 74,879,976.23/9,440.97
  6. Step 6: Final answer
    x = 7,931.39

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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.