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Finding the Fourth Proportional to 9,914.86, 13,684.99 and 6,733.54

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Solution

The fourth proportional to 9,914.86, 13,684.99 and 6,733.54 is: 9,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.86 : 13,684.99 = 6,733.54 : x
  2. Step 2: Convert to fraction form
    9,914.86/13,684.99 = 6,733.54/x
  3. Step 3: Cross multiply
    9,914.86x = 13,684.99 × 6,733.54
  4. Step 4: Simplify right side
    9,914.86x = 92,148,359.14
  5. Step 5: Solve for x
    x = 92,148,359.14/9,914.86
  6. Step 6: Final answer
    x = 9,293.97

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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.