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Finding the Fourth Proportional to 8,734.67, 13,091.07 and 6,878.46

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Solution

The fourth proportional to 8,734.67, 13,091.07 and 6,878.46 is: 10,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.67 : 13,091.07 = 6,878.46 : x
  2. Step 2: Convert to fraction form
    8,734.67/13,091.07 = 6,878.46/x
  3. Step 3: Cross multiply
    8,734.67x = 13,091.07 × 6,878.46
  4. Step 4: Simplify right side
    8,734.67x = 90,046,389.03
  5. Step 5: Solve for x
    x = 90,046,389.03/8,734.67
  6. Step 6: Final answer
    x = 10,309.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.