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Finding the Fourth Proportional to 9,121.05, 13,660.82 and 6,349.80

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Solution

The fourth proportional to 9,121.05, 13,660.82 and 6,349.80 is: 9,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.05 : 13,660.82 = 6,349.80 : x
  2. Step 2: Convert to fraction form
    9,121.05/13,660.82 = 6,349.80/x
  3. Step 3: Cross multiply
    9,121.05x = 13,660.82 × 6,349.80
  4. Step 4: Simplify right side
    9,121.05x = 86,743,443.09
  5. Step 5: Solve for x
    x = 86,743,443.09/9,121.05
  6. Step 6: Final answer
    x = 9,510.25

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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.