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Finding the Fourth Proportional to 9,161.38, 12,641.94 and 5,181.58

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Solution

The fourth proportional to 9,161.38, 12,641.94 and 5,181.58 is: 7,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.38 : 12,641.94 = 5,181.58 : x
  2. Step 2: Convert to fraction form
    9,161.38/12,641.94 = 5,181.58/x
  3. Step 3: Cross multiply
    9,161.38x = 12,641.94 × 5,181.58
  4. Step 4: Simplify right side
    9,161.38x = 65,505,223.47
  5. Step 5: Solve for x
    x = 65,505,223.47/9,161.38
  6. Step 6: Final answer
    x = 7,150.15

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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.