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Finding the Fourth Proportional to 10,201.36, 14,072.64 and 6,804.22

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Solution

The fourth proportional to 10,201.36, 14,072.64 and 6,804.22 is: 9,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.36 : 14,072.64 = 6,804.22 : x
  2. Step 2: Convert to fraction form
    10,201.36/14,072.64 = 6,804.22/x
  3. Step 3: Cross multiply
    10,201.36x = 14,072.64 × 6,804.22
  4. Step 4: Simplify right side
    10,201.36x = 95,753,338.54
  5. Step 5: Solve for x
    x = 95,753,338.54/10,201.36
  6. Step 6: Final answer
    x = 9,386.33

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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.