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Finding the Fourth Proportional to 11,434.06, 17,157.64 and 6,169.06

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Solution

The fourth proportional to 11,434.06, 17,157.64 and 6,169.06 is: 9,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.06 : 17,157.64 = 6,169.06 : x
  2. Step 2: Convert to fraction form
    11,434.06/17,157.64 = 6,169.06/x
  3. Step 3: Cross multiply
    11,434.06x = 17,157.64 × 6,169.06
  4. Step 4: Simplify right side
    11,434.06x = 105,846,510.62
  5. Step 5: Solve for x
    x = 105,846,510.62/11,434.06
  6. Step 6: Final answer
    x = 9,257.12

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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.