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Finding the Fourth Proportional to 8,964.51, 13,446.70 and 2,300.97

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Solution

The fourth proportional to 8,964.51, 13,446.70 and 2,300.97 is: 3,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.51 : 13,446.70 = 2,300.97 : x
  2. Step 2: Convert to fraction form
    8,964.51/13,446.70 = 2,300.97/x
  3. Step 3: Cross multiply
    8,964.51x = 13,446.70 × 2,300.97
  4. Step 4: Simplify right side
    8,964.51x = 30,940,453.30
  5. Step 5: Solve for x
    x = 30,940,453.30/8,964.51
  6. Step 6: Final answer
    x = 3,451.44

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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.