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Finding the Fourth Proportional to 6,786.84, 9,365.54 and 3,954.30

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Solution

The fourth proportional to 6,786.84, 9,365.54 and 3,954.30 is: 5,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.84 : 9,365.54 = 3,954.30 : x
  2. Step 2: Convert to fraction form
    6,786.84/9,365.54 = 3,954.30/x
  3. Step 3: Cross multiply
    6,786.84x = 9,365.54 × 3,954.30
  4. Step 4: Simplify right side
    6,786.84x = 37,034,154.82
  5. Step 5: Solve for x
    x = 37,034,154.82/6,786.84
  6. Step 6: Final answer
    x = 5,456.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.