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Finding the Fourth Proportional to 11,194.40, 16,791.60 and 9,466.40

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Solution

The fourth proportional to 11,194.40, 16,791.60 and 9,466.40 is: 14,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.40 : 16,791.60 = 9,466.40 : x
  2. Step 2: Convert to fraction form
    11,194.40/16,791.60 = 9,466.40/x
  3. Step 3: Cross multiply
    11,194.40x = 16,791.60 × 9,466.40
  4. Step 4: Simplify right side
    11,194.40x = 158,956,002.24
  5. Step 5: Solve for x
    x = 158,956,002.24/11,194.40
  6. Step 6: Final answer
    x = 14,199.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.