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Finding the Fourth Proportional to 9,994, 13,791.94 and 5,517.74

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Solution

The fourth proportional to 9,994, 13,791.94 and 5,517.74 is: 7,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994 : 13,791.94 = 5,517.74 : x
  2. Step 2: Convert to fraction form
    9,994/13,791.94 = 5,517.74/x
  3. Step 3: Cross multiply
    9,994x = 13,791.94 × 5,517.74
  4. Step 4: Simplify right side
    9,994x = 76,100,339.02
  5. Step 5: Solve for x
    x = 76,100,339.02/9,994
  6. Step 6: Final answer
    x = 7,614.60

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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.