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Finding the Fourth Proportional to 9,311.35, 13,965.37 and 2,648.29

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Solution

The fourth proportional to 9,311.35, 13,965.37 and 2,648.29 is: 3,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.35 : 13,965.37 = 2,648.29 : x
  2. Step 2: Convert to fraction form
    9,311.35/13,965.37 = 2,648.29/x
  3. Step 3: Cross multiply
    9,311.35x = 13,965.37 × 2,648.29
  4. Step 4: Simplify right side
    9,311.35x = 36,984,308.18
  5. Step 5: Solve for x
    x = 36,984,308.18/9,311.35
  6. Step 6: Final answer
    x = 3,971.96

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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.