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Finding the Fourth Proportional to 9,318.33, 13,944.02 and 6,847.02

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Solution

The fourth proportional to 9,318.33, 13,944.02 and 6,847.02 is: 10,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.33 : 13,944.02 = 6,847.02 : x
  2. Step 2: Convert to fraction form
    9,318.33/13,944.02 = 6,847.02/x
  3. Step 3: Cross multiply
    9,318.33x = 13,944.02 × 6,847.02
  4. Step 4: Simplify right side
    9,318.33x = 95,474,949.59
  5. Step 5: Solve for x
    x = 95,474,949.59/9,318.33
  6. Step 6: Final answer
    x = 10,245.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.