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Finding the Fourth Proportional to 9,278.67, 12,797.10 and 8,157.21

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Solution

The fourth proportional to 9,278.67, 12,797.10 and 8,157.21 is: 11,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.67 : 12,797.10 = 8,157.21 : x
  2. Step 2: Convert to fraction form
    9,278.67/12,797.10 = 8,157.21/x
  3. Step 3: Cross multiply
    9,278.67x = 12,797.10 × 8,157.21
  4. Step 4: Simplify right side
    9,278.67x = 104,388,632.09
  5. Step 5: Solve for x
    x = 104,388,632.09/9,278.67
  6. Step 6: Final answer
    x = 11,250.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.