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Finding the Fourth Proportional to 6,881.95, 9,496.83 and 3,738.07

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Solution

The fourth proportional to 6,881.95, 9,496.83 and 3,738.07 is: 5,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.95 : 9,496.83 = 3,738.07 : x
  2. Step 2: Convert to fraction form
    6,881.95/9,496.83 = 3,738.07/x
  3. Step 3: Cross multiply
    6,881.95x = 9,496.83 × 3,738.07
  4. Step 4: Simplify right side
    6,881.95x = 35,499,791.58
  5. Step 5: Solve for x
    x = 35,499,791.58/6,881.95
  6. Step 6: Final answer
    x = 5,158.39

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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.