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Finding the Fourth Proportional to 9,185.68, 12,682.32 and 7,057.44

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Solution

The fourth proportional to 9,185.68, 12,682.32 and 7,057.44 is: 9,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.68 : 12,682.32 = 7,057.44 : x
  2. Step 2: Convert to fraction form
    9,185.68/12,682.32 = 7,057.44/x
  3. Step 3: Cross multiply
    9,185.68x = 12,682.32 × 7,057.44
  4. Step 4: Simplify right side
    9,185.68x = 89,504,712.46
  5. Step 5: Solve for x
    x = 89,504,712.46/9,185.68
  6. Step 6: Final answer
    x = 9,743.94

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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.