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Finding the Fourth Proportional to 9,762.72, 13,469.76 and 5,984.64

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Solution

The fourth proportional to 9,762.72, 13,469.76 and 5,984.64 is: 8,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.72 : 13,469.76 = 5,984.64 : x
  2. Step 2: Convert to fraction form
    9,762.72/13,469.76 = 5,984.64/x
  3. Step 3: Cross multiply
    9,762.72x = 13,469.76 × 5,984.64
  4. Step 4: Simplify right side
    9,762.72x = 80,611,664.49
  5. Step 5: Solve for x
    x = 80,611,664.49/9,762.72
  6. Step 6: Final answer
    x = 8,257.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.