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Finding the Fourth Proportional to 6,315.09, 9,462.17 and 3,842.43

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Solution

The fourth proportional to 6,315.09, 9,462.17 and 3,842.43 is: 5,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.09 : 9,462.17 = 3,842.43 : x
  2. Step 2: Convert to fraction form
    6,315.09/9,462.17 = 3,842.43/x
  3. Step 3: Cross multiply
    6,315.09x = 9,462.17 × 3,842.43
  4. Step 4: Simplify right side
    6,315.09x = 36,357,706.66
  5. Step 5: Solve for x
    x = 36,357,706.66/6,315.09
  6. Step 6: Final answer
    x = 5,757.27

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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.