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Finding the Fourth Proportional to 9,902.44, 14,852.20 and 3,745

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Solution

The fourth proportional to 9,902.44, 14,852.20 and 3,745 is: 5,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.44 : 14,852.20 = 3,745 : x
  2. Step 2: Convert to fraction form
    9,902.44/14,852.20 = 3,745/x
  3. Step 3: Cross multiply
    9,902.44x = 14,852.20 × 3,745
  4. Step 4: Simplify right side
    9,902.44x = 55,621,489
  5. Step 5: Solve for x
    x = 55,621,489/9,902.44
  6. Step 6: Final answer
    x = 5,616.95

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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.