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Finding the Fourth Proportional to 9,847.70, 14,767.10 and 2,826.12

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Solution

The fourth proportional to 9,847.70, 14,767.10 and 2,826.12 is: 4,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.70 : 14,767.10 = 2,826.12 : x
  2. Step 2: Convert to fraction form
    9,847.70/14,767.10 = 2,826.12/x
  3. Step 3: Cross multiply
    9,847.70x = 14,767.10 × 2,826.12
  4. Step 4: Simplify right side
    9,847.70x = 41,733,596.65
  5. Step 5: Solve for x
    x = 41,733,596.65/9,847.70
  6. Step 6: Final answer
    x = 4,237.90

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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.