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Finding the Fourth Proportional to 9,940.38, 13,716.24 and 5,690.77

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Solution

The fourth proportional to 9,940.38, 13,716.24 and 5,690.77 is: 7,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.38 : 13,716.24 = 5,690.77 : x
  2. Step 2: Convert to fraction form
    9,940.38/13,716.24 = 5,690.77/x
  3. Step 3: Cross multiply
    9,940.38x = 13,716.24 × 5,690.77
  4. Step 4: Simplify right side
    9,940.38x = 78,055,870.07
  5. Step 5: Solve for x
    x = 78,055,870.07/9,940.38
  6. Step 6: Final answer
    x = 7,852.41

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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.