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Finding the Fourth Proportional to 12,314.41, 16,989.66 and 6,936.01

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Solution

The fourth proportional to 12,314.41, 16,989.66 and 6,936.01 is: 9,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.41 : 16,989.66 = 6,936.01 : x
  2. Step 2: Convert to fraction form
    12,314.41/16,989.66 = 6,936.01/x
  3. Step 3: Cross multiply
    12,314.41x = 16,989.66 × 6,936.01
  4. Step 4: Simplify right side
    12,314.41x = 117,840,451.66
  5. Step 5: Solve for x
    x = 117,840,451.66/12,314.41
  6. Step 6: Final answer
    x = 9,569.31

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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.