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Finding the Fourth Proportional to 9,589.56, 13,227.36 and 6,185.04

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Solution

The fourth proportional to 9,589.56, 13,227.36 and 6,185.04 is: 8,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.56 : 13,227.36 = 6,185.04 : x
  2. Step 2: Convert to fraction form
    9,589.56/13,227.36 = 6,185.04/x
  3. Step 3: Cross multiply
    9,589.56x = 13,227.36 × 6,185.04
  4. Step 4: Simplify right side
    9,589.56x = 81,811,750.69
  5. Step 5: Solve for x
    x = 81,811,750.69/9,589.56
  6. Step 6: Final answer
    x = 8,531.34

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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.