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Finding the Fourth Proportional to 9,704.00, 14,558.13 and 3,860.46

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Solution

The fourth proportional to 9,704.00, 14,558.13 and 3,860.46 is: 5,791.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.00 : 14,558.13 = 3,860.46 : x
  2. Step 2: Convert to fraction form
    9,704.00/14,558.13 = 3,860.46/x
  3. Step 3: Cross multiply
    9,704.00x = 14,558.13 × 3,860.46
  4. Step 4: Simplify right side
    9,704.00x = 56,201,078.54
  5. Step 5: Solve for x
    x = 56,201,078.54/9,704.00
  6. Step 6: Final answer
    x = 5,791.54

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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.