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Finding the Fourth Proportional to 6,317.29, 8,717.91 and 3,664.74

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Solution

The fourth proportional to 6,317.29, 8,717.91 and 3,664.74 is: 5,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.29 : 8,717.91 = 3,664.74 : x
  2. Step 2: Convert to fraction form
    6,317.29/8,717.91 = 3,664.74/x
  3. Step 3: Cross multiply
    6,317.29x = 8,717.91 × 3,664.74
  4. Step 4: Simplify right side
    6,317.29x = 31,948,873.49
  5. Step 5: Solve for x
    x = 31,948,873.49/6,317.29
  6. Step 6: Final answer
    x = 5,057.37

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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.