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Finding the Fourth Proportional to 6,820.80, 9,399.84 and 5,976

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Solution

The fourth proportional to 6,820.80, 9,399.84 and 5,976 is: 8,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.80 : 9,399.84 = 5,976 : x
  2. Step 2: Convert to fraction form
    6,820.80/9,399.84 = 5,976/x
  3. Step 3: Cross multiply
    6,820.80x = 9,399.84 × 5,976
  4. Step 4: Simplify right side
    6,820.80x = 56,173,443.84
  5. Step 5: Solve for x
    x = 56,173,443.84/6,820.80
  6. Step 6: Final answer
    x = 8,235.61

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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.