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Finding the Fourth Proportional to 6,205.25, 9,309.24 and 2,918.37

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Solution

The fourth proportional to 6,205.25, 9,309.24 and 2,918.37 is: 4,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.25 : 9,309.24 = 2,918.37 : x
  2. Step 2: Convert to fraction form
    6,205.25/9,309.24 = 2,918.37/x
  3. Step 3: Cross multiply
    6,205.25x = 9,309.24 × 2,918.37
  4. Step 4: Simplify right side
    6,205.25x = 27,167,806.74
  5. Step 5: Solve for x
    x = 27,167,806.74/6,205.25
  6. Step 6: Final answer
    x = 4,378.20

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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.