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Finding the Fourth Proportional to 9,675.42, 14,512.17 and 3,100.44

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Solution

The fourth proportional to 9,675.42, 14,512.17 and 3,100.44 is: 4,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.42 : 14,512.17 = 3,100.44 : x
  2. Step 2: Convert to fraction form
    9,675.42/14,512.17 = 3,100.44/x
  3. Step 3: Cross multiply
    9,675.42x = 14,512.17 × 3,100.44
  4. Step 4: Simplify right side
    9,675.42x = 44,994,112.35
  5. Step 5: Solve for x
    x = 44,994,112.35/9,675.42
  6. Step 6: Final answer
    x = 4,650.35

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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.