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Finding the Fourth Proportional to 6,820.08, 9,370.92 and 5,420.40

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Solution

The fourth proportional to 6,820.08, 9,370.92 and 5,420.40 is: 7,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.08 : 9,370.92 = 5,420.40 : x
  2. Step 2: Convert to fraction form
    6,820.08/9,370.92 = 5,420.40/x
  3. Step 3: Cross multiply
    6,820.08x = 9,370.92 × 5,420.40
  4. Step 4: Simplify right side
    6,820.08x = 50,794,134.77
  5. Step 5: Solve for x
    x = 50,794,134.77/6,820.08
  6. Step 6: Final answer
    x = 7,447.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.