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Finding the Fourth Proportional to 6,531.02, 9,796.56 and 3,243.34

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Solution

The fourth proportional to 6,531.02, 9,796.56 and 3,243.34 is: 4,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.02 : 9,796.56 = 3,243.34 : x
  2. Step 2: Convert to fraction form
    6,531.02/9,796.56 = 3,243.34/x
  3. Step 3: Cross multiply
    6,531.02x = 9,796.56 × 3,243.34
  4. Step 4: Simplify right side
    6,531.02x = 31,773,550.42
  5. Step 5: Solve for x
    x = 31,773,550.42/6,531.02
  6. Step 6: Final answer
    x = 4,865.02

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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.