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Finding the Fourth Proportional to 6,026.14, 8,315.09 and 3,786.43

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Solution

The fourth proportional to 6,026.14, 8,315.09 and 3,786.43 is: 5,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.14 : 8,315.09 = 3,786.43 : x
  2. Step 2: Convert to fraction form
    6,026.14/8,315.09 = 3,786.43/x
  3. Step 3: Cross multiply
    6,026.14x = 8,315.09 × 3,786.43
  4. Step 4: Simplify right side
    6,026.14x = 31,484,535.37
  5. Step 5: Solve for x
    x = 31,484,535.37/6,026.14
  6. Step 6: Final answer
    x = 5,224.66

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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.