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Finding the Fourth Proportional to 6,840.70, 9,436.80 and 4,321.60

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Solution

The fourth proportional to 6,840.70, 9,436.80 and 4,321.60 is: 5,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.70 : 9,436.80 = 4,321.60 : x
  2. Step 2: Convert to fraction form
    6,840.70/9,436.80 = 4,321.60/x
  3. Step 3: Cross multiply
    6,840.70x = 9,436.80 × 4,321.60
  4. Step 4: Simplify right side
    6,840.70x = 40,782,074.88
  5. Step 5: Solve for x
    x = 40,782,074.88/6,840.70
  6. Step 6: Final answer
    x = 5,961.68

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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.