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Finding the Fourth Proportional to 6,097.29, 9,143.05 and 2,809.41

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Solution

The fourth proportional to 6,097.29, 9,143.05 and 2,809.41 is: 4,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.29 : 9,143.05 = 2,809.41 : x
  2. Step 2: Convert to fraction form
    6,097.29/9,143.05 = 2,809.41/x
  3. Step 3: Cross multiply
    6,097.29x = 9,143.05 × 2,809.41
  4. Step 4: Simplify right side
    6,097.29x = 25,686,576.10
  5. Step 5: Solve for x
    x = 25,686,576.10/6,097.29
  6. Step 6: Final answer
    x = 4,212.79

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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.