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Finding the Fourth Proportional to 9,917.09, 13,688 and 6,735.70

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Solution

The fourth proportional to 9,917.09, 13,688 and 6,735.70 is: 9,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.09 : 13,688 = 6,735.70 : x
  2. Step 2: Convert to fraction form
    9,917.09/13,688 = 6,735.70/x
  3. Step 3: Cross multiply
    9,917.09x = 13,688 × 6,735.70
  4. Step 4: Simplify right side
    9,917.09x = 92,198,261.60
  5. Step 5: Solve for x
    x = 92,198,261.60/9,917.09
  6. Step 6: Final answer
    x = 9,296.91

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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.