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Finding the Fourth Proportional to 6,145.20, 9,217.80 and 5,842.80

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Solution

The fourth proportional to 6,145.20, 9,217.80 and 5,842.80 is: 8,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.20 : 9,217.80 = 5,842.80 : x
  2. Step 2: Convert to fraction form
    6,145.20/9,217.80 = 5,842.80/x
  3. Step 3: Cross multiply
    6,145.20x = 9,217.80 × 5,842.80
  4. Step 4: Simplify right side
    6,145.20x = 53,857,761.84
  5. Step 5: Solve for x
    x = 53,857,761.84/6,145.20
  6. Step 6: Final answer
    x = 8,764.20

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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.