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Finding the Fourth Proportional to 6,142.80, 9,220.14 and 5,809.80

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Solution

The fourth proportional to 6,142.80, 9,220.14 and 5,809.80 is: 8,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.80 : 9,220.14 = 5,809.80 : x
  2. Step 2: Convert to fraction form
    6,142.80/9,220.14 = 5,809.80/x
  3. Step 3: Cross multiply
    6,142.80x = 9,220.14 × 5,809.80
  4. Step 4: Simplify right side
    6,142.80x = 53,567,169.37
  5. Step 5: Solve for x
    x = 53,567,169.37/6,142.80
  6. Step 6: Final answer
    x = 8,720.32

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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.