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Finding the Fourth Proportional to 9,801.19, 13,532.70 and 6,029.43

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Solution

The fourth proportional to 9,801.19, 13,532.70 and 6,029.43 is: 8,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.19 : 13,532.70 = 6,029.43 : x
  2. Step 2: Convert to fraction form
    9,801.19/13,532.70 = 6,029.43/x
  3. Step 3: Cross multiply
    9,801.19x = 13,532.70 × 6,029.43
  4. Step 4: Simplify right side
    9,801.19x = 81,594,467.36
  5. Step 5: Solve for x
    x = 81,594,467.36/9,801.19
  6. Step 6: Final answer
    x = 8,324.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.