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Finding the Fourth Proportional to 6,344.96, 9,519.54 and 4,002.26

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Solution

The fourth proportional to 6,344.96, 9,519.54 and 4,002.26 is: 6,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.96 : 9,519.54 = 4,002.26 : x
  2. Step 2: Convert to fraction form
    6,344.96/9,519.54 = 4,002.26/x
  3. Step 3: Cross multiply
    6,344.96x = 9,519.54 × 4,002.26
  4. Step 4: Simplify right side
    6,344.96x = 38,099,674.16
  5. Step 5: Solve for x
    x = 38,099,674.16/6,344.96
  6. Step 6: Final answer
    x = 6,004.71

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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.