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Finding the Fourth Proportional to 6,367.77, 9,508.75 and 5,200.05

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Solution

The fourth proportional to 6,367.77, 9,508.75 and 5,200.05 is: 7,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.77 : 9,508.75 = 5,200.05 : x
  2. Step 2: Convert to fraction form
    6,367.77/9,508.75 = 5,200.05/x
  3. Step 3: Cross multiply
    6,367.77x = 9,508.75 × 5,200.05
  4. Step 4: Simplify right side
    6,367.77x = 49,445,975.44
  5. Step 5: Solve for x
    x = 49,445,975.44/6,367.77
  6. Step 6: Final answer
    x = 7,765.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.