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Finding the Fourth Proportional to 6,898.12, 9,519.30 and 3,754.36

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Solution

The fourth proportional to 6,898.12, 9,519.30 and 3,754.36 is: 5,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.12 : 9,519.30 = 3,754.36 : x
  2. Step 2: Convert to fraction form
    6,898.12/9,519.30 = 3,754.36/x
  3. Step 3: Cross multiply
    6,898.12x = 9,519.30 × 3,754.36
  4. Step 4: Simplify right side
    6,898.12x = 35,738,879.15
  5. Step 5: Solve for x
    x = 35,738,879.15/6,898.12
  6. Step 6: Final answer
    x = 5,180.96

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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.