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Finding the Fourth Proportional to 6,523.98, 9,786.36 and 2,628.36

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Solution

The fourth proportional to 6,523.98, 9,786.36 and 2,628.36 is: 3,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.98 : 9,786.36 = 2,628.36 : x
  2. Step 2: Convert to fraction form
    6,523.98/9,786.36 = 2,628.36/x
  3. Step 3: Cross multiply
    6,523.98x = 9,786.36 × 2,628.36
  4. Step 4: Simplify right side
    6,523.98x = 25,722,077.17
  5. Step 5: Solve for x
    x = 25,722,077.17/6,523.98
  6. Step 6: Final answer
    x = 3,942.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.