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Finding the Fourth Proportional to 6,356.20, 9,512.70 and 5,578.60

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Solution

The fourth proportional to 6,356.20, 9,512.70 and 5,578.60 is: 8,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.20 : 9,512.70 = 5,578.60 : x
  2. Step 2: Convert to fraction form
    6,356.20/9,512.70 = 5,578.60/x
  3. Step 3: Cross multiply
    6,356.20x = 9,512.70 × 5,578.60
  4. Step 4: Simplify right side
    6,356.20x = 53,067,548.22
  5. Step 5: Solve for x
    x = 53,067,548.22/6,356.20
  6. Step 6: Final answer
    x = 8,348.94

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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.