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Finding the Fourth Proportional to 6,878.27, 9,491.99 and 3,734.45

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Solution

The fourth proportional to 6,878.27, 9,491.99 and 3,734.45 is: 5,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.27 : 9,491.99 = 3,734.45 : x
  2. Step 2: Convert to fraction form
    6,878.27/9,491.99 = 3,734.45/x
  3. Step 3: Cross multiply
    6,878.27x = 9,491.99 × 3,734.45
  4. Step 4: Simplify right side
    6,878.27x = 35,447,362.06
  5. Step 5: Solve for x
    x = 35,447,362.06/6,878.27
  6. Step 6: Final answer
    x = 5,153.53

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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.