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Finding the Fourth Proportional to 9,943.26, 13,719.39 and 5,965.14

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Solution

The fourth proportional to 9,943.26, 13,719.39 and 5,965.14 is: 8,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.26 : 13,719.39 = 5,965.14 : x
  2. Step 2: Convert to fraction form
    9,943.26/13,719.39 = 5,965.14/x
  3. Step 3: Cross multiply
    9,943.26x = 13,719.39 × 5,965.14
  4. Step 4: Simplify right side
    9,943.26x = 81,838,082.06
  5. Step 5: Solve for x
    x = 81,838,082.06/9,943.26
  6. Step 6: Final answer
    x = 8,230.51

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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.