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Finding the Fourth Proportional to 6,331.85, 8,738.28 and 3,814.75

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Solution

The fourth proportional to 6,331.85, 8,738.28 and 3,814.75 is: 5,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.85 : 8,738.28 = 3,814.75 : x
  2. Step 2: Convert to fraction form
    6,331.85/8,738.28 = 3,814.75/x
  3. Step 3: Cross multiply
    6,331.85x = 8,738.28 × 3,814.75
  4. Step 4: Simplify right side
    6,331.85x = 33,334,353.63
  5. Step 5: Solve for x
    x = 33,334,353.63/6,331.85
  6. Step 6: Final answer
    x = 5,264.55

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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.