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Finding the Fourth Proportional to 9,917.33, 13,684.90 and 5,938.34

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Solution

The fourth proportional to 9,917.33, 13,684.90 and 5,938.34 is: 8,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.33 : 13,684.90 = 5,938.34 : x
  2. Step 2: Convert to fraction form
    9,917.33/13,684.90 = 5,938.34/x
  3. Step 3: Cross multiply
    9,917.33x = 13,684.90 × 5,938.34
  4. Step 4: Simplify right side
    9,917.33x = 81,265,589.07
  5. Step 5: Solve for x
    x = 81,265,589.07/9,917.33
  6. Step 6: Final answer
    x = 8,194.30

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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.