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Finding the Fourth Proportional to 6,785.26, 9,363.68 and 3,954.57

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Solution

The fourth proportional to 6,785.26, 9,363.68 and 3,954.57 is: 5,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.26 : 9,363.68 = 3,954.57 : x
  2. Step 2: Convert to fraction form
    6,785.26/9,363.68 = 3,954.57/x
  3. Step 3: Cross multiply
    6,785.26x = 9,363.68 × 3,954.57
  4. Step 4: Simplify right side
    6,785.26x = 37,029,328.02
  5. Step 5: Solve for x
    x = 37,029,328.02/6,785.26
  6. Step 6: Final answer
    x = 5,457.32

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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.