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Finding the Fourth Proportional to 6,352.56, 9,523.26 and 2,454.30

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Solution

The fourth proportional to 6,352.56, 9,523.26 and 2,454.30 is: 3,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.56 : 9,523.26 = 2,454.30 : x
  2. Step 2: Convert to fraction form
    6,352.56/9,523.26 = 2,454.30/x
  3. Step 3: Cross multiply
    6,352.56x = 9,523.26 × 2,454.30
  4. Step 4: Simplify right side
    6,352.56x = 23,372,937.02
  5. Step 5: Solve for x
    x = 23,372,937.02/6,352.56
  6. Step 6: Final answer
    x = 3,679.29

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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.