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Finding the Fourth Proportional to 7,114.28, 9,817.62 and 3,971

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Solution

The fourth proportional to 7,114.28, 9,817.62 and 3,971 is: 5,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.28 : 9,817.62 = 3,971 : x
  2. Step 2: Convert to fraction form
    7,114.28/9,817.62 = 3,971/x
  3. Step 3: Cross multiply
    7,114.28x = 9,817.62 × 3,971
  4. Step 4: Simplify right side
    7,114.28x = 38,985,769.02
  5. Step 5: Solve for x
    x = 38,985,769.02/7,114.28
  6. Step 6: Final answer
    x = 5,479.93

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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.