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Finding the Fourth Proportional to 9,803.14, 14,706.98 and 3,229.38

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Solution

The fourth proportional to 9,803.14, 14,706.98 and 3,229.38 is: 4,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.14 : 14,706.98 = 3,229.38 : x
  2. Step 2: Convert to fraction form
    9,803.14/14,706.98 = 3,229.38/x
  3. Step 3: Cross multiply
    9,803.14x = 14,706.98 × 3,229.38
  4. Step 4: Simplify right side
    9,803.14x = 47,494,435.15
  5. Step 5: Solve for x
    x = 47,494,435.15/9,803.14
  6. Step 6: Final answer
    x = 4,844.82

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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.