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Finding the Fourth Proportional to 6,096.69, 9,145.44 and 2,201.13

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Solution

The fourth proportional to 6,096.69, 9,145.44 and 2,201.13 is: 3,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.69 : 9,145.44 = 2,201.13 : x
  2. Step 2: Convert to fraction form
    6,096.69/9,145.44 = 2,201.13/x
  3. Step 3: Cross multiply
    6,096.69x = 9,145.44 × 2,201.13
  4. Step 4: Simplify right side
    6,096.69x = 20,130,302.35
  5. Step 5: Solve for x
    x = 20,130,302.35/6,096.69
  6. Step 6: Final answer
    x = 3,301.84

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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.