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Finding the Fourth Proportional to 12,209.41, 16,846.19 and 6,903.07

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Solution

The fourth proportional to 12,209.41, 16,846.19 and 6,903.07 is: 9,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.41 : 16,846.19 = 6,903.07 : x
  2. Step 2: Convert to fraction form
    12,209.41/16,846.19 = 6,903.07/x
  3. Step 3: Cross multiply
    12,209.41x = 16,846.19 × 6,903.07
  4. Step 4: Simplify right side
    12,209.41x = 116,290,394.29
  5. Step 5: Solve for x
    x = 116,290,394.29/12,209.41
  6. Step 6: Final answer
    x = 9,524.65

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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.