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Finding the Fourth Proportional to 6,838.22, 9,452.68 and 6,099.50

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Solution

The fourth proportional to 6,838.22, 9,452.68 and 6,099.50 is: 8,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.22 : 9,452.68 = 6,099.50 : x
  2. Step 2: Convert to fraction form
    6,838.22/9,452.68 = 6,099.50/x
  3. Step 3: Cross multiply
    6,838.22x = 9,452.68 × 6,099.50
  4. Step 4: Simplify right side
    6,838.22x = 57,656,559.15
  5. Step 5: Solve for x
    x = 57,656,559.15/6,838.22
  6. Step 6: Final answer
    x = 8,431.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.