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Finding the Fourth Proportional to 9,589.72, 13,241.02 and 9,436.62

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Solution

The fourth proportional to 9,589.72, 13,241.02 and 9,436.62 is: 13,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.72 : 13,241.02 = 9,436.62 : x
  2. Step 2: Convert to fraction form
    9,589.72/13,241.02 = 9,436.62/x
  3. Step 3: Cross multiply
    9,589.72x = 13,241.02 × 9,436.62
  4. Step 4: Simplify right side
    9,589.72x = 124,950,474.15
  5. Step 5: Solve for x
    x = 124,950,474.15/9,589.72
  6. Step 6: Final answer
    x = 13,029.63

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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.