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Finding the Fourth Proportional to 6,568.38, 9,846.45 and 2,407.38

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Solution

The fourth proportional to 6,568.38, 9,846.45 and 2,407.38 is: 3,608.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.38 : 9,846.45 = 2,407.38 : x
  2. Step 2: Convert to fraction form
    6,568.38/9,846.45 = 2,407.38/x
  3. Step 3: Cross multiply
    6,568.38x = 9,846.45 × 2,407.38
  4. Step 4: Simplify right side
    6,568.38x = 23,704,146.80
  5. Step 5: Solve for x
    x = 23,704,146.80/6,568.38
  6. Step 6: Final answer
    x = 3,608.83

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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.