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Finding the Fourth Proportional to 9,500.78, 13,107.88 and 6,147.83

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Solution

The fourth proportional to 9,500.78, 13,107.88 and 6,147.83 is: 8,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.78 : 13,107.88 = 6,147.83 : x
  2. Step 2: Convert to fraction form
    9,500.78/13,107.88 = 6,147.83/x
  3. Step 3: Cross multiply
    9,500.78x = 13,107.88 × 6,147.83
  4. Step 4: Simplify right side
    9,500.78x = 80,585,023.77
  5. Step 5: Solve for x
    x = 80,585,023.77/9,500.78
  6. Step 6: Final answer
    x = 8,481.94

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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.