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Finding the Fourth Proportional to 9,846.99, 14,765.61 and 3,270.97

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Solution

The fourth proportional to 9,846.99, 14,765.61 and 3,270.97 is: 4,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.99 : 14,765.61 = 3,270.97 : x
  2. Step 2: Convert to fraction form
    9,846.99/14,765.61 = 3,270.97/x
  3. Step 3: Cross multiply
    9,846.99x = 14,765.61 × 3,270.97
  4. Step 4: Simplify right side
    9,846.99x = 48,297,867.34
  5. Step 5: Solve for x
    x = 48,297,867.34/9,846.99
  6. Step 6: Final answer
    x = 4,904.84

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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.