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Finding the Fourth Proportional to 9,846.68, 14,770.76 and 2,826.63

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Solution

The fourth proportional to 9,846.68, 14,770.76 and 2,826.63 is: 4,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.68 : 14,770.76 = 2,826.63 : x
  2. Step 2: Convert to fraction form
    9,846.68/14,770.76 = 2,826.63/x
  3. Step 3: Cross multiply
    9,846.68x = 14,770.76 × 2,826.63
  4. Step 4: Simplify right side
    9,846.68x = 41,751,521.52
  5. Step 5: Solve for x
    x = 41,751,521.52/9,846.68
  6. Step 6: Final answer
    x = 4,240.16

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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.