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Finding the Fourth Proportional to 9,716.82, 14,575.29 and 3,873.42

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Solution

The fourth proportional to 9,716.82, 14,575.29 and 3,873.42 is: 5,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.82 : 14,575.29 = 3,873.42 : x
  2. Step 2: Convert to fraction form
    9,716.82/14,575.29 = 3,873.42/x
  3. Step 3: Cross multiply
    9,716.82x = 14,575.29 × 3,873.42
  4. Step 4: Simplify right side
    9,716.82x = 56,456,219.79
  5. Step 5: Solve for x
    x = 56,456,219.79/9,716.82
  6. Step 6: Final answer
    x = 5,810.15

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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.