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Finding the Fourth Proportional to 6,317.88, 9,471.29 and 2,617.80

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Solution

The fourth proportional to 6,317.88, 9,471.29 and 2,617.80 is: 3,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.88 : 9,471.29 = 2,617.80 : x
  2. Step 2: Convert to fraction form
    6,317.88/9,471.29 = 2,617.80/x
  3. Step 3: Cross multiply
    6,317.88x = 9,471.29 × 2,617.80
  4. Step 4: Simplify right side
    6,317.88x = 24,793,929.87
  5. Step 5: Solve for x
    x = 24,793,929.87/6,317.88
  6. Step 6: Final answer
    x = 3,924.41

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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.