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Finding the Fourth Proportional to 6,456.44, 9,685.56 and 2,239.22

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Solution

The fourth proportional to 6,456.44, 9,685.56 and 2,239.22 is: 3,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.44 : 9,685.56 = 2,239.22 : x
  2. Step 2: Convert to fraction form
    6,456.44/9,685.56 = 2,239.22/x
  3. Step 3: Cross multiply
    6,456.44x = 9,685.56 × 2,239.22
  4. Step 4: Simplify right side
    6,456.44x = 21,688,099.66
  5. Step 5: Solve for x
    x = 21,688,099.66/6,456.44
  6. Step 6: Final answer
    x = 3,359.14

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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.