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Finding the Fourth Proportional to 9,932.10, 14,910.30 and 5,493.30

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Solution

The fourth proportional to 9,932.10, 14,910.30 and 5,493.30 is: 8,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.10 : 14,910.30 = 5,493.30 : x
  2. Step 2: Convert to fraction form
    9,932.10/14,910.30 = 5,493.30/x
  3. Step 3: Cross multiply
    9,932.10x = 14,910.30 × 5,493.30
  4. Step 4: Simplify right side
    9,932.10x = 81,906,750.99
  5. Step 5: Solve for x
    x = 81,906,750.99/9,932.10
  6. Step 6: Final answer
    x = 8,246.67

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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.