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Finding the Fourth Proportional to 6,646.31, 9,172.13 and 3,662.37

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Solution

The fourth proportional to 6,646.31, 9,172.13 and 3,662.37 is: 5,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.31 : 9,172.13 = 3,662.37 : x
  2. Step 2: Convert to fraction form
    6,646.31/9,172.13 = 3,662.37/x
  3. Step 3: Cross multiply
    6,646.31x = 9,172.13 × 3,662.37
  4. Step 4: Simplify right side
    6,646.31x = 33,591,715.44
  5. Step 5: Solve for x
    x = 33,591,715.44/6,646.31
  6. Step 6: Final answer
    x = 5,054.19

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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.