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Finding the Fourth Proportional to 6,914.34, 10,369.46 and 2,471.28

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Solution

The fourth proportional to 6,914.34, 10,369.46 and 2,471.28 is: 3,706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.34 : 10,369.46 = 2,471.28 : x
  2. Step 2: Convert to fraction form
    6,914.34/10,369.46 = 2,471.28/x
  3. Step 3: Cross multiply
    6,914.34x = 10,369.46 × 2,471.28
  4. Step 4: Simplify right side
    6,914.34x = 25,625,839.11
  5. Step 5: Solve for x
    x = 25,625,839.11/6,914.34
  6. Step 6: Final answer
    x = 3,706.19

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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.