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Finding the Fourth Proportional to 9,384.78, 12,951.12 and 5,193

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Solution

The fourth proportional to 9,384.78, 12,951.12 and 5,193 is: 7,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.78 : 12,951.12 = 5,193 : x
  2. Step 2: Convert to fraction form
    9,384.78/12,951.12 = 5,193/x
  3. Step 3: Cross multiply
    9,384.78x = 12,951.12 × 5,193
  4. Step 4: Simplify right side
    9,384.78x = 67,255,166.16
  5. Step 5: Solve for x
    x = 67,255,166.16/9,384.78
  6. Step 6: Final answer
    x = 7,166.41

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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.