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Finding the Fourth Proportional to 9,878.68, 13,622.36 and 8,467.28

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Solution

The fourth proportional to 9,878.68, 13,622.36 and 8,467.28 is: 11,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.68 : 13,622.36 = 8,467.28 : x
  2. Step 2: Convert to fraction form
    9,878.68/13,622.36 = 8,467.28/x
  3. Step 3: Cross multiply
    9,878.68x = 13,622.36 × 8,467.28
  4. Step 4: Simplify right side
    9,878.68x = 115,344,336.38
  5. Step 5: Solve for x
    x = 115,344,336.38/9,878.68
  6. Step 6: Final answer
    x = 11,676.09

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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.