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Finding the Fourth Proportional to 9,159.38, 12,641.83 and 5,180.66

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Solution

The fourth proportional to 9,159.38, 12,641.83 and 5,180.66 is: 7,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.38 : 12,641.83 = 5,180.66 : x
  2. Step 2: Convert to fraction form
    9,159.38/12,641.83 = 5,180.66/x
  3. Step 3: Cross multiply
    9,159.38x = 12,641.83 × 5,180.66
  4. Step 4: Simplify right side
    9,159.38x = 65,492,946.85
  5. Step 5: Solve for x
    x = 65,492,946.85/9,159.38
  6. Step 6: Final answer
    x = 7,150.37

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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.