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Finding the Fourth Proportional to 9,673.56, 14,512.46 and 3,100.41

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Solution

The fourth proportional to 9,673.56, 14,512.46 and 3,100.41 is: 4,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.56 : 14,512.46 = 3,100.41 : x
  2. Step 2: Convert to fraction form
    9,673.56/14,512.46 = 3,100.41/x
  3. Step 3: Cross multiply
    9,673.56x = 14,512.46 × 3,100.41
  4. Step 4: Simplify right side
    9,673.56x = 44,994,560.61
  5. Step 5: Solve for x
    x = 44,994,560.61/9,673.56
  6. Step 6: Final answer
    x = 4,651.29

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