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Finding the Fourth Proportional to 6,195.72, 9,293.10 and 1,578.60

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Solution

The fourth proportional to 6,195.72, 9,293.10 and 1,578.60 is: 2,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.72 : 9,293.10 = 1,578.60 : x
  2. Step 2: Convert to fraction form
    6,195.72/9,293.10 = 1,578.60/x
  3. Step 3: Cross multiply
    6,195.72x = 9,293.10 × 1,578.60
  4. Step 4: Simplify right side
    6,195.72x = 14,670,087.66
  5. Step 5: Solve for x
    x = 14,670,087.66/6,195.72
  6. Step 6: Final answer
    x = 2,367.78

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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.