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Finding the Fourth Proportional to 6,324.36, 9,485.93 and 2,814.44

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Solution

The fourth proportional to 6,324.36, 9,485.93 and 2,814.44 is: 4,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.36 : 9,485.93 = 2,814.44 : x
  2. Step 2: Convert to fraction form
    6,324.36/9,485.93 = 2,814.44/x
  3. Step 3: Cross multiply
    6,324.36x = 9,485.93 × 2,814.44
  4. Step 4: Simplify right side
    6,324.36x = 26,697,519.33
  5. Step 5: Solve for x
    x = 26,697,519.33/6,324.36
  6. Step 6: Final answer
    x = 4,221.38

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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.