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Finding the Fourth Proportional to 9,266.22, 12,807.39 and 8,196.42

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Solution

The fourth proportional to 9,266.22, 12,807.39 and 8,196.42 is: 11,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.22 : 12,807.39 = 8,196.42 : x
  2. Step 2: Convert to fraction form
    9,266.22/12,807.39 = 8,196.42/x
  3. Step 3: Cross multiply
    9,266.22x = 12,807.39 × 8,196.42
  4. Step 4: Simplify right side
    9,266.22x = 104,974,747.54
  5. Step 5: Solve for x
    x = 104,974,747.54/9,266.22
  6. Step 6: Final answer
    x = 11,328.76

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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.