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Finding the Fourth Proportional to 7,115.12, 9,817.96 and 3,971.44

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Solution

The fourth proportional to 7,115.12, 9,817.96 and 3,971.44 is: 5,480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.12 : 9,817.96 = 3,971.44 : x
  2. Step 2: Convert to fraction form
    7,115.12/9,817.96 = 3,971.44/x
  3. Step 3: Cross multiply
    7,115.12x = 9,817.96 × 3,971.44
  4. Step 4: Simplify right side
    7,115.12x = 38,991,439.06
  5. Step 5: Solve for x
    x = 38,991,439.06/7,115.12
  6. Step 6: Final answer
    x = 5,480.08

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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.