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Finding the Fourth Proportional to 6,676.99, 9,214.23 and 3,843.33

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Solution

The fourth proportional to 6,676.99, 9,214.23 and 3,843.33 is: 5,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.99 : 9,214.23 = 3,843.33 : x
  2. Step 2: Convert to fraction form
    6,676.99/9,214.23 = 3,843.33/x
  3. Step 3: Cross multiply
    6,676.99x = 9,214.23 × 3,843.33
  4. Step 4: Simplify right side
    6,676.99x = 35,413,312.17
  5. Step 5: Solve for x
    x = 35,413,312.17/6,676.99
  6. Step 6: Final answer
    x = 5,303.79

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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.