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Finding the Fourth Proportional to 6,180.69, 9,274.41 and 2,622.26

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Solution

The fourth proportional to 6,180.69, 9,274.41 and 2,622.26 is: 3,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.69 : 9,274.41 = 2,622.26 : x
  2. Step 2: Convert to fraction form
    6,180.69/9,274.41 = 2,622.26/x
  3. Step 3: Cross multiply
    6,180.69x = 9,274.41 × 2,622.26
  4. Step 4: Simplify right side
    6,180.69x = 24,319,878.07
  5. Step 5: Solve for x
    x = 24,319,878.07/6,180.69
  6. Step 6: Final answer
    x = 3,934.82

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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.