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Finding the Fourth Proportional to 6,311.37, 9,422.67 and 4,822.80

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Solution

The fourth proportional to 6,311.37, 9,422.67 and 4,822.80 is: 7,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.37 : 9,422.67 = 4,822.80 : x
  2. Step 2: Convert to fraction form
    6,311.37/9,422.67 = 4,822.80/x
  3. Step 3: Cross multiply
    6,311.37x = 9,422.67 × 4,822.80
  4. Step 4: Simplify right side
    6,311.37x = 45,443,652.88
  5. Step 5: Solve for x
    x = 45,443,652.88/6,311.37
  6. Step 6: Final answer
    x = 7,200.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.