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Finding the Fourth Proportional to 6,881.44, 9,496.36 and 3,897.48

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Solution

The fourth proportional to 6,881.44, 9,496.36 and 3,897.48 is: 5,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.44 : 9,496.36 = 3,897.48 : x
  2. Step 2: Convert to fraction form
    6,881.44/9,496.36 = 3,897.48/x
  3. Step 3: Cross multiply
    6,881.44x = 9,496.36 × 3,897.48
  4. Step 4: Simplify right side
    6,881.44x = 37,011,873.17
  5. Step 5: Solve for x
    x = 37,011,873.17/6,881.44
  6. Step 6: Final answer
    x = 5,378.51

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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.