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Finding the Fourth Proportional to 9,716.80, 14,566.24 and 3,872

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Solution

The fourth proportional to 9,716.80, 14,566.24 and 3,872 is: 5,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.80 : 14,566.24 = 3,872 : x
  2. Step 2: Convert to fraction form
    9,716.80/14,566.24 = 3,872/x
  3. Step 3: Cross multiply
    9,716.80x = 14,566.24 × 3,872
  4. Step 4: Simplify right side
    9,716.80x = 56,400,481.28
  5. Step 5: Solve for x
    x = 56,400,481.28/9,716.80
  6. Step 6: Final answer
    x = 5,804.43

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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.