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Finding the Fourth Proportional to 6,826.72, 9,421.26 and 4,173.70

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Solution

The fourth proportional to 6,826.72, 9,421.26 and 4,173.70 is: 5,759.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.72 : 9,421.26 = 4,173.70 : x
  2. Step 2: Convert to fraction form
    6,826.72/9,421.26 = 4,173.70/x
  3. Step 3: Cross multiply
    6,826.72x = 9,421.26 × 4,173.70
  4. Step 4: Simplify right side
    6,826.72x = 39,321,512.86
  5. Step 5: Solve for x
    x = 39,321,512.86/6,826.72
  6. Step 6: Final answer
    x = 5,759.94

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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.