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Finding the Fourth Proportional to 9,159.83, 12,640.57 and 5,180.86

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Solution

The fourth proportional to 9,159.83, 12,640.57 and 5,180.86 is: 7,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.83 : 12,640.57 = 5,180.86 : x
  2. Step 2: Convert to fraction form
    9,159.83/12,640.57 = 5,180.86/x
  3. Step 3: Cross multiply
    9,159.83x = 12,640.57 × 5,180.86
  4. Step 4: Simplify right side
    9,159.83x = 65,488,934.38
  5. Step 5: Solve for x
    x = 65,488,934.38/9,159.83
  6. Step 6: Final answer
    x = 7,149.58

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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.