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Finding the Fourth Proportional to 6,736.90, 9,297.12 and 3,752.98

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Solution

The fourth proportional to 6,736.90, 9,297.12 and 3,752.98 is: 5,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.90 : 9,297.12 = 3,752.98 : x
  2. Step 2: Convert to fraction form
    6,736.90/9,297.12 = 3,752.98/x
  3. Step 3: Cross multiply
    6,736.90x = 9,297.12 × 3,752.98
  4. Step 4: Simplify right side
    6,736.90x = 34,891,905.42
  5. Step 5: Solve for x
    x = 34,891,905.42/6,736.90
  6. Step 6: Final answer
    x = 5,179.22

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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.