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Finding the Fourth Proportional to 6,443.16, 9,665.37 and 2,059.56

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Solution

The fourth proportional to 6,443.16, 9,665.37 and 2,059.56 is: 3,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.16 : 9,665.37 = 2,059.56 : x
  2. Step 2: Convert to fraction form
    6,443.16/9,665.37 = 2,059.56/x
  3. Step 3: Cross multiply
    6,443.16x = 9,665.37 × 2,059.56
  4. Step 4: Simplify right side
    6,443.16x = 19,906,409.44
  5. Step 5: Solve for x
    x = 19,906,409.44/6,443.16
  6. Step 6: Final answer
    x = 3,089.54

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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.