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Finding the Fourth Proportional to 12,846.26, 19,251.28 and 6,084.67

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Solution

The fourth proportional to 12,846.26, 19,251.28 and 6,084.67 is: 9,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.26 : 19,251.28 = 6,084.67 : x
  2. Step 2: Convert to fraction form
    12,846.26/19,251.28 = 6,084.67/x
  3. Step 3: Cross multiply
    12,846.26x = 19,251.28 × 6,084.67
  4. Step 4: Simplify right side
    12,846.26x = 117,137,685.88
  5. Step 5: Solve for x
    x = 117,137,685.88/12,846.26
  6. Step 6: Final answer
    x = 9,118.43

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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.