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Finding the Fourth Proportional to 9,091.07, 12,551.51 and 8,194.40

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Solution

The fourth proportional to 9,091.07, 12,551.51 and 8,194.40 is: 11,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.07 : 12,551.51 = 8,194.40 : x
  2. Step 2: Convert to fraction form
    9,091.07/12,551.51 = 8,194.40/x
  3. Step 3: Cross multiply
    9,091.07x = 12,551.51 × 8,194.40
  4. Step 4: Simplify right side
    9,091.07x = 102,852,052.25
  5. Step 5: Solve for x
    x = 102,852,052.25/9,091.07
  6. Step 6: Final answer
    x = 11,313.53

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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.