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Finding the Fourth Proportional to 9,896.05, 13,665.80 and 6,365.39

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Solution

The fourth proportional to 9,896.05, 13,665.80 and 6,365.39 is: 8,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.05 : 13,665.80 = 6,365.39 : x
  2. Step 2: Convert to fraction form
    9,896.05/13,665.80 = 6,365.39/x
  3. Step 3: Cross multiply
    9,896.05x = 13,665.80 × 6,365.39
  4. Step 4: Simplify right side
    9,896.05x = 86,988,146.66
  5. Step 5: Solve for x
    x = 86,988,146.66/9,896.05
  6. Step 6: Final answer
    x = 8,790.19

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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.