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Finding the Fourth Proportional to 6,534.44, 9,808.46 and 3,249.96

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Solution

The fourth proportional to 6,534.44, 9,808.46 and 3,249.96 is: 4,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.44 : 9,808.46 = 3,249.96 : x
  2. Step 2: Convert to fraction form
    6,534.44/9,808.46 = 3,249.96/x
  3. Step 3: Cross multiply
    6,534.44x = 9,808.46 × 3,249.96
  4. Step 4: Simplify right side
    6,534.44x = 31,877,102.66
  5. Step 5: Solve for x
    x = 31,877,102.66/6,534.44
  6. Step 6: Final answer
    x = 4,878.32

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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.