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Finding the Fourth Proportional to 6,100.35, 9,145.01 and 2,202.03

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Solution

The fourth proportional to 6,100.35, 9,145.01 and 2,202.03 is: 3,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.35 : 9,145.01 = 2,202.03 : x
  2. Step 2: Convert to fraction form
    6,100.35/9,145.01 = 2,202.03/x
  3. Step 3: Cross multiply
    6,100.35x = 9,145.01 × 2,202.03
  4. Step 4: Simplify right side
    6,100.35x = 20,137,575.36
  5. Step 5: Solve for x
    x = 20,137,575.36/6,100.35
  6. Step 6: Final answer
    x = 3,301.05

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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.