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Finding the Fourth Proportional to 6,576.88, 9,867 and 5,408.80

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Solution

The fourth proportional to 6,576.88, 9,867 and 5,408.80 is: 8,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.88 : 9,867 = 5,408.80 : x
  2. Step 2: Convert to fraction form
    6,576.88/9,867 = 5,408.80/x
  3. Step 3: Cross multiply
    6,576.88x = 9,867 × 5,408.80
  4. Step 4: Simplify right side
    6,576.88x = 53,368,629.60
  5. Step 5: Solve for x
    x = 53,368,629.60/6,576.88
  6. Step 6: Final answer
    x = 8,114.58

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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.