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Finding the Fourth Proportional to 6,168.20, 9,262.20 and 5,713.40

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Solution

The fourth proportional to 6,168.20, 9,262.20 and 5,713.40 is: 8,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.20 : 9,262.20 = 5,713.40 : x
  2. Step 2: Convert to fraction form
    6,168.20/9,262.20 = 5,713.40/x
  3. Step 3: Cross multiply
    6,168.20x = 9,262.20 × 5,713.40
  4. Step 4: Simplify right side
    6,168.20x = 52,918,653.48
  5. Step 5: Solve for x
    x = 52,918,653.48/6,168.20
  6. Step 6: Final answer
    x = 8,579.27

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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.