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Finding the Fourth Proportional to 6,138.37, 8,468.44 and 4,276.45

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Solution

The fourth proportional to 6,138.37, 8,468.44 and 4,276.45 is: 5,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.37 : 8,468.44 = 4,276.45 : x
  2. Step 2: Convert to fraction form
    6,138.37/8,468.44 = 4,276.45/x
  3. Step 3: Cross multiply
    6,138.37x = 8,468.44 × 4,276.45
  4. Step 4: Simplify right side
    6,138.37x = 36,214,860.24
  5. Step 5: Solve for x
    x = 36,214,860.24/6,138.37
  6. Step 6: Final answer
    x = 5,899.75

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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.