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Finding the Fourth Proportional to 6,156.38, 9,226.86 and 2,642.24

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Solution

The fourth proportional to 6,156.38, 9,226.86 and 2,642.24 is: 3,960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.38 : 9,226.86 = 2,642.24 : x
  2. Step 2: Convert to fraction form
    6,156.38/9,226.86 = 2,642.24/x
  3. Step 3: Cross multiply
    6,156.38x = 9,226.86 × 2,642.24
  4. Step 4: Simplify right side
    6,156.38x = 24,379,532.43
  5. Step 5: Solve for x
    x = 24,379,532.43/6,156.38
  6. Step 6: Final answer
    x = 3,960.05

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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.