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Finding the Fourth Proportional to 9,704.36, 14,551.90 and 2,777

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Solution

The fourth proportional to 9,704.36, 14,551.90 and 2,777 is: 4,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.36 : 14,551.90 = 2,777 : x
  2. Step 2: Convert to fraction form
    9,704.36/14,551.90 = 2,777/x
  3. Step 3: Cross multiply
    9,704.36x = 14,551.90 × 2,777
  4. Step 4: Simplify right side
    9,704.36x = 40,410,626.30
  5. Step 5: Solve for x
    x = 40,410,626.30/9,704.36
  6. Step 6: Final answer
    x = 4,164.17

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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.