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Finding the Fourth Proportional to 6,334.56, 9,505.44 and 4,255.56

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Solution

The fourth proportional to 6,334.56, 9,505.44 and 4,255.56 is: 6,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.56 : 9,505.44 = 4,255.56 : x
  2. Step 2: Convert to fraction form
    6,334.56/9,505.44 = 4,255.56/x
  3. Step 3: Cross multiply
    6,334.56x = 9,505.44 × 4,255.56
  4. Step 4: Simplify right side
    6,334.56x = 40,450,970.25
  5. Step 5: Solve for x
    x = 40,450,970.25/6,334.56
  6. Step 6: Final answer
    x = 6,385.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.