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Finding the Fourth Proportional to 11,906.42, 16,450.65 and 9,407.71

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Solution

The fourth proportional to 11,906.42, 16,450.65 and 9,407.71 is: 12,998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.42 : 16,450.65 = 9,407.71 : x
  2. Step 2: Convert to fraction form
    11,906.42/16,450.65 = 9,407.71/x
  3. Step 3: Cross multiply
    11,906.42x = 16,450.65 × 9,407.71
  4. Step 4: Simplify right side
    11,906.42x = 154,762,815.22
  5. Step 5: Solve for x
    x = 154,762,815.22/11,906.42
  6. Step 6: Final answer
    x = 12,998.27

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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.