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Finding the Fourth Proportional to 11,794.89, 16,300.26 and 9,667.02

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Solution

The fourth proportional to 11,794.89, 16,300.26 and 9,667.02 is: 13,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.89 : 16,300.26 = 9,667.02 : x
  2. Step 2: Convert to fraction form
    11,794.89/16,300.26 = 9,667.02/x
  3. Step 3: Cross multiply
    11,794.89x = 16,300.26 × 9,667.02
  4. Step 4: Simplify right side
    11,794.89x = 157,574,939.43
  5. Step 5: Solve for x
    x = 157,574,939.43/11,794.89
  6. Step 6: Final answer
    x = 13,359.59

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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.