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Finding the Fourth Proportional to 12,114.50, 16,717.93 and 6,809.37

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Solution

The fourth proportional to 12,114.50, 16,717.93 and 6,809.37 is: 9,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.50 : 16,717.93 = 6,809.37 : x
  2. Step 2: Convert to fraction form
    12,114.50/16,717.93 = 6,809.37/x
  3. Step 3: Cross multiply
    12,114.50x = 16,717.93 × 6,809.37
  4. Step 4: Simplify right side
    12,114.50x = 113,838,491.29
  5. Step 5: Solve for x
    x = 113,838,491.29/12,114.50
  6. Step 6: Final answer
    x = 9,396.88

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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.