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Finding the Fourth Proportional to 9,096.90, 13,623.48 and 6,166.32

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Solution

The fourth proportional to 9,096.90, 13,623.48 and 6,166.32 is: 9,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.90 : 13,623.48 = 6,166.32 : x
  2. Step 2: Convert to fraction form
    9,096.90/13,623.48 = 6,166.32/x
  3. Step 3: Cross multiply
    9,096.90x = 13,623.48 × 6,166.32
  4. Step 4: Simplify right side
    9,096.90x = 84,006,737.19
  5. Step 5: Solve for x
    x = 84,006,737.19/9,096.90
  6. Step 6: Final answer
    x = 9,234.66

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