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Finding the Fourth Proportional to 9,380, 12,890.26 and 8,946.35

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Solution

The fourth proportional to 9,380, 12,890.26 and 8,946.35 is: 12,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380 : 12,890.26 = 8,946.35 : x
  2. Step 2: Convert to fraction form
    9,380/12,890.26 = 8,946.35/x
  3. Step 3: Cross multiply
    9,380x = 12,890.26 × 8,946.35
  4. Step 4: Simplify right side
    9,380x = 115,320,777.55
  5. Step 5: Solve for x
    x = 115,320,777.55/9,380
  6. Step 6: Final answer
    x = 12,294.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.