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Finding the Fourth Proportional to 9,803.13, 14,706.98 and 3,229.08

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Solution

The fourth proportional to 9,803.13, 14,706.98 and 3,229.08 is: 4,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.13 : 14,706.98 = 3,229.08 : x
  2. Step 2: Convert to fraction form
    9,803.13/14,706.98 = 3,229.08/x
  3. Step 3: Cross multiply
    9,803.13x = 14,706.98 × 3,229.08
  4. Step 4: Simplify right side
    9,803.13x = 47,489,998.83
  5. Step 5: Solve for x
    x = 47,489,998.83/9,803.13
  6. Step 6: Final answer
    x = 4,844.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.