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Finding the Fourth Proportional to 9,589.34, 13,228.62 and 8,260.73

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Solution

The fourth proportional to 9,589.34, 13,228.62 and 8,260.73 is: 11,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.34 : 13,228.62 = 8,260.73 : x
  2. Step 2: Convert to fraction form
    9,589.34/13,228.62 = 8,260.73/x
  3. Step 3: Cross multiply
    9,589.34x = 13,228.62 × 8,260.73
  4. Step 4: Simplify right side
    9,589.34x = 109,278,084.99
  5. Step 5: Solve for x
    x = 109,278,084.99/9,589.34
  6. Step 6: Final answer
    x = 11,395.79

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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.