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Finding the Fourth Proportional to 9,381.39, 12,945.74 and 5,189.64

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Solution

The fourth proportional to 9,381.39, 12,945.74 and 5,189.64 is: 7,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.39 : 12,945.74 = 5,189.64 : x
  2. Step 2: Convert to fraction form
    9,381.39/12,945.74 = 5,189.64/x
  3. Step 3: Cross multiply
    9,381.39x = 12,945.74 × 5,189.64
  4. Step 4: Simplify right side
    9,381.39x = 67,183,704.19
  5. Step 5: Solve for x
    x = 67,183,704.19/9,381.39
  6. Step 6: Final answer
    x = 7,161.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.