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Finding the Fourth Proportional to 8,768.09, 12,091.94 and 6,854.16

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Solution

The fourth proportional to 8,768.09, 12,091.94 and 6,854.16 is: 9,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768.09 : 12,091.94 = 6,854.16 : x
  2. Step 2: Convert to fraction form
    8,768.09/12,091.94 = 6,854.16/x
  3. Step 3: Cross multiply
    8,768.09x = 12,091.94 × 6,854.16
  4. Step 4: Simplify right side
    8,768.09x = 82,880,063.26
  5. Step 5: Solve for x
    x = 82,880,063.26/8,768.09
  6. Step 6: Final answer
    x = 9,452.47

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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.