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Finding the Fourth Proportional to 11,914.53, 16,442.12 and 6,609.43

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Solution

The fourth proportional to 11,914.53, 16,442.12 and 6,609.43 is: 9,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.53 : 16,442.12 = 6,609.43 : x
  2. Step 2: Convert to fraction form
    11,914.53/16,442.12 = 6,609.43/x
  3. Step 3: Cross multiply
    11,914.53x = 16,442.12 × 6,609.43
  4. Step 4: Simplify right side
    11,914.53x = 108,673,041.19
  5. Step 5: Solve for x
    x = 108,673,041.19/11,914.53
  6. Step 6: Final answer
    x = 9,121.05

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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.