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Finding the Fourth Proportional to 12,209.75, 16,849.82 and 6,904.46

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Solution

The fourth proportional to 12,209.75, 16,849.82 and 6,904.46 is: 9,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.75 : 16,849.82 = 6,904.46 : x
  2. Step 2: Convert to fraction form
    12,209.75/16,849.82 = 6,904.46/x
  3. Step 3: Cross multiply
    12,209.75x = 16,849.82 × 6,904.46
  4. Step 4: Simplify right side
    12,209.75x = 116,338,789.43
  5. Step 5: Solve for x
    x = 116,338,789.43/12,209.75
  6. Step 6: Final answer
    x = 9,528.36

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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.