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Finding the Fourth Proportional to 6,171.05, 9,256.74 and 2,422.67

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Solution

The fourth proportional to 6,171.05, 9,256.74 and 2,422.67 is: 3,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.05 : 9,256.74 = 2,422.67 : x
  2. Step 2: Convert to fraction form
    6,171.05/9,256.74 = 2,422.67/x
  3. Step 3: Cross multiply
    6,171.05x = 9,256.74 × 2,422.67
  4. Step 4: Simplify right side
    6,171.05x = 22,425,980.01
  5. Step 5: Solve for x
    x = 22,425,980.01/6,171.05
  6. Step 6: Final answer
    x = 3,634.07

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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.