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Finding the Fourth Proportional to 6,339.43, 9,509.15 and 1,722.43

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Solution

The fourth proportional to 6,339.43, 9,509.15 and 1,722.43 is: 2,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.43 : 9,509.15 = 1,722.43 : x
  2. Step 2: Convert to fraction form
    6,339.43/9,509.15 = 1,722.43/x
  3. Step 3: Cross multiply
    6,339.43x = 9,509.15 × 1,722.43
  4. Step 4: Simplify right side
    6,339.43x = 16,378,845.23
  5. Step 5: Solve for x
    x = 16,378,845.23/6,339.43
  6. Step 6: Final answer
    x = 2,583.65

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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.