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Finding the Fourth Proportional to 6,172.24, 9,266.54 and 3,678.04

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Solution

The fourth proportional to 6,172.24, 9,266.54 and 3,678.04 is: 5,521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.24 : 9,266.54 = 3,678.04 : x
  2. Step 2: Convert to fraction form
    6,172.24/9,266.54 = 3,678.04/x
  3. Step 3: Cross multiply
    6,172.24x = 9,266.54 × 3,678.04
  4. Step 4: Simplify right side
    6,172.24x = 34,082,704.78
  5. Step 5: Solve for x
    x = 34,082,704.78/6,172.24
  6. Step 6: Final answer
    x = 5,521.93

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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.