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Finding the Fourth Proportional to 6,576.90, 9,865.14 and 1,896.99

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Solution

The fourth proportional to 6,576.90, 9,865.14 and 1,896.99 is: 2,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.90 : 9,865.14 = 1,896.99 : x
  2. Step 2: Convert to fraction form
    6,576.90/9,865.14 = 1,896.99/x
  3. Step 3: Cross multiply
    6,576.90x = 9,865.14 × 1,896.99
  4. Step 4: Simplify right side
    6,576.90x = 18,714,071.93
  5. Step 5: Solve for x
    x = 18,714,071.93/6,576.90
  6. Step 6: Final answer
    x = 2,845.42

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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.