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Finding the Fourth Proportional to 12,235.09, 16,884.34 and 6,646.09

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Solution

The fourth proportional to 12,235.09, 16,884.34 and 6,646.09 is: 9,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.09 : 16,884.34 = 6,646.09 : x
  2. Step 2: Convert to fraction form
    12,235.09/16,884.34 = 6,646.09/x
  3. Step 3: Cross multiply
    12,235.09x = 16,884.34 × 6,646.09
  4. Step 4: Simplify right side
    12,235.09x = 112,214,843.23
  5. Step 5: Solve for x
    x = 112,214,843.23/12,235.09
  6. Step 6: Final answer
    x = 9,171.56

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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.