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Finding the Fourth Proportional to 9,804.70, 14,703.92 and 3,229.36

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Solution

The fourth proportional to 9,804.70, 14,703.92 and 3,229.36 is: 4,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.70 : 14,703.92 = 3,229.36 : x
  2. Step 2: Convert to fraction form
    9,804.70/14,703.92 = 3,229.36/x
  3. Step 3: Cross multiply
    9,804.70x = 14,703.92 × 3,229.36
  4. Step 4: Simplify right side
    9,804.70x = 47,484,251.09
  5. Step 5: Solve for x
    x = 47,484,251.09/9,804.70
  6. Step 6: Final answer
    x = 4,843.01

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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.