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Finding the Fourth Proportional to 6,646.06, 9,171.51 and 3,662.22

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Solution

The fourth proportional to 6,646.06, 9,171.51 and 3,662.22 is: 5,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.06 : 9,171.51 = 3,662.22 : x
  2. Step 2: Convert to fraction form
    6,646.06/9,171.51 = 3,662.22/x
  3. Step 3: Cross multiply
    6,646.06x = 9,171.51 × 3,662.22
  4. Step 4: Simplify right side
    6,646.06x = 33,588,087.35
  5. Step 5: Solve for x
    x = 33,588,087.35/6,646.06
  6. Step 6: Final answer
    x = 5,053.83

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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.