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Finding the Fourth Proportional to 9,714.92, 14,568.82 and 3,473.26

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Solution

The fourth proportional to 9,714.92, 14,568.82 and 3,473.26 is: 5,208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.92 : 14,568.82 = 3,473.26 : x
  2. Step 2: Convert to fraction form
    9,714.92/14,568.82 = 3,473.26/x
  3. Step 3: Cross multiply
    9,714.92x = 14,568.82 × 3,473.26
  4. Step 4: Simplify right side
    9,714.92x = 50,601,299.75
  5. Step 5: Solve for x
    x = 50,601,299.75/9,714.92
  6. Step 6: Final answer
    x = 5,208.62

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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.