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Finding the Fourth Proportional to 8,974.67, 13,450.12 and 6,886.69

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Solution

The fourth proportional to 8,974.67, 13,450.12 and 6,886.69 is: 10,320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.67 : 13,450.12 = 6,886.69 : x
  2. Step 2: Convert to fraction form
    8,974.67/13,450.12 = 6,886.69/x
  3. Step 3: Cross multiply
    8,974.67x = 13,450.12 × 6,886.69
  4. Step 4: Simplify right side
    8,974.67x = 92,626,756.06
  5. Step 5: Solve for x
    x = 92,626,756.06/8,974.67
  6. Step 6: Final answer
    x = 10,320.92

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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.