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Finding the Fourth Proportional to 6,391.72, 9,584.34 and 2,926

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Solution

The fourth proportional to 6,391.72, 9,584.34 and 2,926 is: 4,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.72 : 9,584.34 = 2,926 : x
  2. Step 2: Convert to fraction form
    6,391.72/9,584.34 = 2,926/x
  3. Step 3: Cross multiply
    6,391.72x = 9,584.34 × 2,926
  4. Step 4: Simplify right side
    6,391.72x = 28,043,778.84
  5. Step 5: Solve for x
    x = 28,043,778.84/6,391.72
  6. Step 6: Final answer
    x = 4,387.52

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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.