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Finding the Fourth Proportional to 9,917.94, 13,688.56 and 5,938.22

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Solution

The fourth proportional to 9,917.94, 13,688.56 and 5,938.22 is: 8,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.94 : 13,688.56 = 5,938.22 : x
  2. Step 2: Convert to fraction form
    9,917.94/13,688.56 = 5,938.22/x
  3. Step 3: Cross multiply
    9,917.94x = 13,688.56 × 5,938.22
  4. Step 4: Simplify right side
    9,917.94x = 81,285,680.76
  5. Step 5: Solve for x
    x = 81,285,680.76/9,917.94
  6. Step 6: Final answer
    x = 8,195.82

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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.