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Finding the Fourth Proportional to 6,196.47, 9,295.23 and 1,980.33

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Solution

The fourth proportional to 6,196.47, 9,295.23 and 1,980.33 is: 2,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.47 : 9,295.23 = 1,980.33 : x
  2. Step 2: Convert to fraction form
    6,196.47/9,295.23 = 1,980.33/x
  3. Step 3: Cross multiply
    6,196.47x = 9,295.23 × 1,980.33
  4. Step 4: Simplify right side
    6,196.47x = 18,407,576.35
  5. Step 5: Solve for x
    x = 18,407,576.35/6,196.47
  6. Step 6: Final answer
    x = 2,970.66

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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.