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Finding the Fourth Proportional to 12,186.09, 16,817.09 and 6,880.95

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Solution

The fourth proportional to 12,186.09, 16,817.09 and 6,880.95 is: 9,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.09 : 16,817.09 = 6,880.95 : x
  2. Step 2: Convert to fraction form
    12,186.09/16,817.09 = 6,880.95/x
  3. Step 3: Cross multiply
    12,186.09x = 16,817.09 × 6,880.95
  4. Step 4: Simplify right side
    12,186.09x = 115,717,521.03
  5. Step 5: Solve for x
    x = 115,717,521.03/12,186.09
  6. Step 6: Final answer
    x = 9,495.87

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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.