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Finding the Fourth Proportional to 6,561.23, 9,845.46 and 3,098.39

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Solution

The fourth proportional to 6,561.23, 9,845.46 and 3,098.39 is: 4,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.23 : 9,845.46 = 3,098.39 : x
  2. Step 2: Convert to fraction form
    6,561.23/9,845.46 = 3,098.39/x
  3. Step 3: Cross multiply
    6,561.23x = 9,845.46 × 3,098.39
  4. Step 4: Simplify right side
    6,561.23x = 30,505,025.58
  5. Step 5: Solve for x
    x = 30,505,025.58/6,561.23
  6. Step 6: Final answer
    x = 4,649.29

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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.