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Finding the Fourth Proportional to 9,803.75, 14,705.68 and 2,408.22

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Solution

The fourth proportional to 9,803.75, 14,705.68 and 2,408.22 is: 3,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.75 : 14,705.68 = 2,408.22 : x
  2. Step 2: Convert to fraction form
    9,803.75/14,705.68 = 2,408.22/x
  3. Step 3: Cross multiply
    9,803.75x = 14,705.68 × 2,408.22
  4. Step 4: Simplify right side
    9,803.75x = 35,414,512.69
  5. Step 5: Solve for x
    x = 35,414,512.69/9,803.75
  6. Step 6: Final answer
    x = 3,612.34

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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.