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Finding the Fourth Proportional to 6,072.78, 9,106.68 and 2,950.20

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Solution

The fourth proportional to 6,072.78, 9,106.68 and 2,950.20 is: 4,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.78 : 9,106.68 = 2,950.20 : x
  2. Step 2: Convert to fraction form
    6,072.78/9,106.68 = 2,950.20/x
  3. Step 3: Cross multiply
    6,072.78x = 9,106.68 × 2,950.20
  4. Step 4: Simplify right side
    6,072.78x = 26,866,527.34
  5. Step 5: Solve for x
    x = 26,866,527.34/6,072.78
  6. Step 6: Final answer
    x = 4,424.09

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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.