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Finding the Fourth Proportional to 6,523.44, 9,798.27 and 3,896.10

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Solution

The fourth proportional to 6,523.44, 9,798.27 and 3,896.10 is: 5,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.44 : 9,798.27 = 3,896.10 : x
  2. Step 2: Convert to fraction form
    6,523.44/9,798.27 = 3,896.10/x
  3. Step 3: Cross multiply
    6,523.44x = 9,798.27 × 3,896.10
  4. Step 4: Simplify right side
    6,523.44x = 38,175,039.75
  5. Step 5: Solve for x
    x = 38,175,039.75/6,523.44
  6. Step 6: Final answer
    x = 5,851.98

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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.