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Finding the Fourth Proportional to 6,172.88, 8,509.72 and 4,401.41

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Solution

The fourth proportional to 6,172.88, 8,509.72 and 4,401.41 is: 6,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.88 : 8,509.72 = 4,401.41 : x
  2. Step 2: Convert to fraction form
    6,172.88/8,509.72 = 4,401.41/x
  3. Step 3: Cross multiply
    6,172.88x = 8,509.72 × 4,401.41
  4. Step 4: Simplify right side
    6,172.88x = 37,454,766.71
  5. Step 5: Solve for x
    x = 37,454,766.71/6,172.88
  6. Step 6: Final answer
    x = 6,067.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.