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Finding the Fourth Proportional to 9,686.98, 14,498.07 and 8,516.26

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Solution

The fourth proportional to 9,686.98, 14,498.07 and 8,516.26 is: 12,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.98 : 14,498.07 = 8,516.26 : x
  2. Step 2: Convert to fraction form
    9,686.98/14,498.07 = 8,516.26/x
  3. Step 3: Cross multiply
    9,686.98x = 14,498.07 × 8,516.26
  4. Step 4: Simplify right side
    9,686.98x = 123,469,333.62
  5. Step 5: Solve for x
    x = 123,469,333.62/9,686.98
  6. Step 6: Final answer
    x = 12,745.91

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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.