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Finding the Fourth Proportional to 9,165.66, 13,727.12 and 6,694.36

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Solution

The fourth proportional to 9,165.66, 13,727.12 and 6,694.36 is: 10,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.66 : 13,727.12 = 6,694.36 : x
  2. Step 2: Convert to fraction form
    9,165.66/13,727.12 = 6,694.36/x
  3. Step 3: Cross multiply
    9,165.66x = 13,727.12 × 6,694.36
  4. Step 4: Simplify right side
    9,165.66x = 91,894,283.04
  5. Step 5: Solve for x
    x = 91,894,283.04/9,165.66
  6. Step 6: Final answer
    x = 10,025.93

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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.