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Finding the Fourth Proportional to 6,678.77, 9,217.39 and 3,846.25

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Solution

The fourth proportional to 6,678.77, 9,217.39 and 3,846.25 is: 5,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.77 : 9,217.39 = 3,846.25 : x
  2. Step 2: Convert to fraction form
    6,678.77/9,217.39 = 3,846.25/x
  3. Step 3: Cross multiply
    6,678.77x = 9,217.39 × 3,846.25
  4. Step 4: Simplify right side
    6,678.77x = 35,452,344.01
  5. Step 5: Solve for x
    x = 35,452,344.01/6,678.77
  6. Step 6: Final answer
    x = 5,308.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.