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Finding the Fourth Proportional to 9,805.29, 14,707.92 and 3,961.90

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Solution

The fourth proportional to 9,805.29, 14,707.92 and 3,961.90 is: 5,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.29 : 14,707.92 = 3,961.90 : x
  2. Step 2: Convert to fraction form
    9,805.29/14,707.92 = 3,961.90/x
  3. Step 3: Cross multiply
    9,805.29x = 14,707.92 × 3,961.90
  4. Step 4: Simplify right side
    9,805.29x = 58,271,234.71
  5. Step 5: Solve for x
    x = 58,271,234.71/9,805.29
  6. Step 6: Final answer
    x = 5,942.84

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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.