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Finding the Fourth Proportional to 6,268.57, 9,402.90 and 2,568.22

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Solution

The fourth proportional to 6,268.57, 9,402.90 and 2,568.22 is: 3,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.57 : 9,402.90 = 2,568.22 : x
  2. Step 2: Convert to fraction form
    6,268.57/9,402.90 = 2,568.22/x
  3. Step 3: Cross multiply
    6,268.57x = 9,402.90 × 2,568.22
  4. Step 4: Simplify right side
    6,268.57x = 24,148,715.84
  5. Step 5: Solve for x
    x = 24,148,715.84/6,268.57
  6. Step 6: Final answer
    x = 3,852.35

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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.