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Finding the Fourth Proportional to 9,836.76, 14,736.24 and 4,764

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Solution

The fourth proportional to 9,836.76, 14,736.24 and 4,764 is: 7,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.76 : 14,736.24 = 4,764 : x
  2. Step 2: Convert to fraction form
    9,836.76/14,736.24 = 4,764/x
  3. Step 3: Cross multiply
    9,836.76x = 14,736.24 × 4,764
  4. Step 4: Simplify right side
    9,836.76x = 70,203,447.36
  5. Step 5: Solve for x
    x = 70,203,447.36/9,836.76
  6. Step 6: Final answer
    x = 7,136.85

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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.