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Finding the Fourth Proportional to 6,309.26, 9,451.24 and 3,809.02

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Solution

The fourth proportional to 6,309.26, 9,451.24 and 3,809.02 is: 5,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.26 : 9,451.24 = 3,809.02 : x
  2. Step 2: Convert to fraction form
    6,309.26/9,451.24 = 3,809.02/x
  3. Step 3: Cross multiply
    6,309.26x = 9,451.24 × 3,809.02
  4. Step 4: Simplify right side
    6,309.26x = 35,999,962.18
  5. Step 5: Solve for x
    x = 35,999,962.18/6,309.26
  6. Step 6: Final answer
    x = 5,705.89

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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.