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Finding the Fourth Proportional to 9,781.92, 14,674.04 and 3,116.09

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Solution

The fourth proportional to 9,781.92, 14,674.04 and 3,116.09 is: 4,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.92 : 14,674.04 = 3,116.09 : x
  2. Step 2: Convert to fraction form
    9,781.92/14,674.04 = 3,116.09/x
  3. Step 3: Cross multiply
    9,781.92x = 14,674.04 × 3,116.09
  4. Step 4: Simplify right side
    9,781.92x = 45,725,540.35
  5. Step 5: Solve for x
    x = 45,725,540.35/9,781.92
  6. Step 6: Final answer
    x = 4,674.50

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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.