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Finding the Fourth Proportional to 9,348, 14,023.44 and 3,193.44

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Solution

The fourth proportional to 9,348, 14,023.44 and 3,193.44 is: 4,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348 : 14,023.44 = 3,193.44 : x
  2. Step 2: Convert to fraction form
    9,348/14,023.44 = 3,193.44/x
  3. Step 3: Cross multiply
    9,348x = 14,023.44 × 3,193.44
  4. Step 4: Simplify right side
    9,348x = 44,783,014.23
  5. Step 5: Solve for x
    x = 44,783,014.23/9,348
  6. Step 6: Final answer
    x = 4,790.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.