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Finding the Fourth Proportional to 6,530.44, 9,796.74 and 3,243.64

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Solution

The fourth proportional to 6,530.44, 9,796.74 and 3,243.64 is: 4,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.44 : 9,796.74 = 3,243.64 : x
  2. Step 2: Convert to fraction form
    6,530.44/9,796.74 = 3,243.64/x
  3. Step 3: Cross multiply
    6,530.44x = 9,796.74 × 3,243.64
  4. Step 4: Simplify right side
    6,530.44x = 31,777,097.73
  5. Step 5: Solve for x
    x = 31,777,097.73/6,530.44
  6. Step 6: Final answer
    x = 4,866.00

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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.