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Finding the Fourth Proportional to 7,126.71, 9,834.89 and 3,896.60

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Solution

The fourth proportional to 7,126.71, 9,834.89 and 3,896.60 is: 5,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.71 : 9,834.89 = 3,896.60 : x
  2. Step 2: Convert to fraction form
    7,126.71/9,834.89 = 3,896.60/x
  3. Step 3: Cross multiply
    7,126.71x = 9,834.89 × 3,896.60
  4. Step 4: Simplify right side
    7,126.71x = 38,322,632.37
  5. Step 5: Solve for x
    x = 38,322,632.37/7,126.71
  6. Step 6: Final answer
    x = 5,377.32

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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.