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Finding the Fourth Proportional to 9,941.14, 13,721.22 and 5,751.82

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Solution

The fourth proportional to 9,941.14, 13,721.22 and 5,751.82 is: 7,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.14 : 13,721.22 = 5,751.82 : x
  2. Step 2: Convert to fraction form
    9,941.14/13,721.22 = 5,751.82/x
  3. Step 3: Cross multiply
    9,941.14x = 13,721.22 × 5,751.82
  4. Step 4: Simplify right side
    9,941.14x = 78,921,987.62
  5. Step 5: Solve for x
    x = 78,921,987.62/9,941.14
  6. Step 6: Final answer
    x = 7,938.93

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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.