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Finding the Fourth Proportional to 6,843.60, 9,462.60 and 5,968.80

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Solution

The fourth proportional to 6,843.60, 9,462.60 and 5,968.80 is: 8,253.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.60 : 9,462.60 = 5,968.80 : x
  2. Step 2: Convert to fraction form
    6,843.60/9,462.60 = 5,968.80/x
  3. Step 3: Cross multiply
    6,843.60x = 9,462.60 × 5,968.80
  4. Step 4: Simplify right side
    6,843.60x = 56,480,366.88
  5. Step 5: Solve for x
    x = 56,480,366.88/6,843.60
  6. Step 6: Final answer
    x = 8,253.02

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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.