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Finding the Fourth Proportional to 6,309.57, 9,463.23 and 2,149.26

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Solution

The fourth proportional to 6,309.57, 9,463.23 and 2,149.26 is: 3,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.57 : 9,463.23 = 2,149.26 : x
  2. Step 2: Convert to fraction form
    6,309.57/9,463.23 = 2,149.26/x
  3. Step 3: Cross multiply
    6,309.57x = 9,463.23 × 2,149.26
  4. Step 4: Simplify right side
    6,309.57x = 20,338,941.71
  5. Step 5: Solve for x
    x = 20,338,941.71/6,309.57
  6. Step 6: Final answer
    x = 3,223.51

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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.