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Finding the Fourth Proportional to 6,096.72, 9,145.04 and 2,147.06

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Solution

The fourth proportional to 6,096.72, 9,145.04 and 2,147.06 is: 3,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.72 : 9,145.04 = 2,147.06 : x
  2. Step 2: Convert to fraction form
    6,096.72/9,145.04 = 2,147.06/x
  3. Step 3: Cross multiply
    6,096.72x = 9,145.04 × 2,147.06
  4. Step 4: Simplify right side
    6,096.72x = 19,634,977.81
  5. Step 5: Solve for x
    x = 19,634,977.81/6,096.72
  6. Step 6: Final answer
    x = 3,220.58

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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.