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Finding the Fourth Proportional to 6,396.90, 9,538.85 and 5,620.08

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Solution

The fourth proportional to 6,396.90, 9,538.85 and 5,620.08 is: 8,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.90 : 9,538.85 = 5,620.08 : x
  2. Step 2: Convert to fraction form
    6,396.90/9,538.85 = 5,620.08/x
  3. Step 3: Cross multiply
    6,396.90x = 9,538.85 × 5,620.08
  4. Step 4: Simplify right side
    6,396.90x = 53,609,100.11
  5. Step 5: Solve for x
    x = 53,609,100.11/6,396.90
  6. Step 6: Final answer
    x = 8,380.48

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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.