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Finding the Fourth Proportional to 9,919.26, 13,682.93 and 5,938.11

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Solution

The fourth proportional to 9,919.26, 13,682.93 and 5,938.11 is: 8,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.26 : 13,682.93 = 5,938.11 : x
  2. Step 2: Convert to fraction form
    9,919.26/13,682.93 = 5,938.11/x
  3. Step 3: Cross multiply
    9,919.26x = 13,682.93 × 5,938.11
  4. Step 4: Simplify right side
    9,919.26x = 81,250,713.77
  5. Step 5: Solve for x
    x = 81,250,713.77/9,919.26
  6. Step 6: Final answer
    x = 8,191.21

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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.