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Finding the Fourth Proportional to 6,568.36, 9,856.28 and 2,407.81

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Solution

The fourth proportional to 6,568.36, 9,856.28 and 2,407.81 is: 3,613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.36 : 9,856.28 = 2,407.81 : x
  2. Step 2: Convert to fraction form
    6,568.36/9,856.28 = 2,407.81/x
  3. Step 3: Cross multiply
    6,568.36x = 9,856.28 × 2,407.81
  4. Step 4: Simplify right side
    6,568.36x = 23,732,049.55
  5. Step 5: Solve for x
    x = 23,732,049.55/6,568.36
  6. Step 6: Final answer
    x = 3,613.09

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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.