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Finding the Fourth Proportional to 9,795.34, 13,520.42 and 5,968.36

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Solution

The fourth proportional to 9,795.34, 13,520.42 and 5,968.36 is: 8,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.34 : 13,520.42 = 5,968.36 : x
  2. Step 2: Convert to fraction form
    9,795.34/13,520.42 = 5,968.36/x
  3. Step 3: Cross multiply
    9,795.34x = 13,520.42 × 5,968.36
  4. Step 4: Simplify right side
    9,795.34x = 80,694,733.91
  5. Step 5: Solve for x
    x = 80,694,733.91/9,795.34
  6. Step 6: Final answer
    x = 8,238.07

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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.