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Finding the Fourth Proportional to 6,329.31, 9,504.91 and 3,878.51

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Solution

The fourth proportional to 6,329.31, 9,504.91 and 3,878.51 is: 5,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.31 : 9,504.91 = 3,878.51 : x
  2. Step 2: Convert to fraction form
    6,329.31/9,504.91 = 3,878.51/x
  3. Step 3: Cross multiply
    6,329.31x = 9,504.91 × 3,878.51
  4. Step 4: Simplify right side
    6,329.31x = 36,864,856.18
  5. Step 5: Solve for x
    x = 36,864,856.18/6,329.31
  6. Step 6: Final answer
    x = 5,824.46

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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.