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Finding the Fourth Proportional to 9,917.34, 13,684.91 and 5,938.35

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Solution

The fourth proportional to 9,917.34, 13,684.91 and 5,938.35 is: 8,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.34 : 13,684.91 = 5,938.35 : x
  2. Step 2: Convert to fraction form
    9,917.34/13,684.91 = 5,938.35/x
  3. Step 3: Cross multiply
    9,917.34x = 13,684.91 × 5,938.35
  4. Step 4: Simplify right side
    9,917.34x = 81,265,755.61
  5. Step 5: Solve for x
    x = 81,265,755.61/9,917.34
  6. Step 6: Final answer
    x = 8,194.31

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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.