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Finding the Fourth Proportional to 6,646.69, 9,171.73 and 3,662.35

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Solution

The fourth proportional to 6,646.69, 9,171.73 and 3,662.35 is: 5,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.69 : 9,171.73 = 3,662.35 : x
  2. Step 2: Convert to fraction form
    6,646.69/9,171.73 = 3,662.35/x
  3. Step 3: Cross multiply
    6,646.69x = 9,171.73 × 3,662.35
  4. Step 4: Simplify right side
    6,646.69x = 33,590,067.01
  5. Step 5: Solve for x
    x = 33,590,067.01/6,646.69
  6. Step 6: Final answer
    x = 5,053.65

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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.