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Finding the Fourth Proportional to 6,621.98, 9,138.14 and 3,638.08

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Solution

The fourth proportional to 6,621.98, 9,138.14 and 3,638.08 is: 5,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,621.98 : 9,138.14 = 3,638.08 : x
  2. Step 2: Convert to fraction form
    6,621.98/9,138.14 = 3,638.08/x
  3. Step 3: Cross multiply
    6,621.98x = 9,138.14 × 3,638.08
  4. Step 4: Simplify right side
    6,621.98x = 33,245,284.37
  5. Step 5: Solve for x
    x = 33,245,284.37/6,621.98
  6. Step 6: Final answer
    x = 5,020.44

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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.