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Finding the Fourth Proportional to 11,914.90, 16,442 and 6,609.60

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Solution

The fourth proportional to 11,914.90, 16,442 and 6,609.60 is: 9,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.90 : 16,442 = 6,609.60 : x
  2. Step 2: Convert to fraction form
    11,914.90/16,442 = 6,609.60/x
  3. Step 3: Cross multiply
    11,914.90x = 16,442 × 6,609.60
  4. Step 4: Simplify right side
    11,914.90x = 108,675,043.20
  5. Step 5: Solve for x
    x = 108,675,043.20/11,914.90
  6. Step 6: Final answer
    x = 9,120.94

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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.