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Finding the Fourth Proportional to 8,961.44, 12,358.31 and 6,833.23

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Solution

The fourth proportional to 8,961.44, 12,358.31 and 6,833.23 is: 9,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.44 : 12,358.31 = 6,833.23 : x
  2. Step 2: Convert to fraction form
    8,961.44/12,358.31 = 6,833.23/x
  3. Step 3: Cross multiply
    8,961.44x = 12,358.31 × 6,833.23
  4. Step 4: Simplify right side
    8,961.44x = 84,447,109.58
  5. Step 5: Solve for x
    x = 84,447,109.58/8,961.44
  6. Step 6: Final answer
    x = 9,423.39

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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.