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Finding the Fourth Proportional to 6,186.96, 9,284.04 and 2,489.52

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Solution

The fourth proportional to 6,186.96, 9,284.04 and 2,489.52 is: 3,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.96 : 9,284.04 = 2,489.52 : x
  2. Step 2: Convert to fraction form
    6,186.96/9,284.04 = 2,489.52/x
  3. Step 3: Cross multiply
    6,186.96x = 9,284.04 × 2,489.52
  4. Step 4: Simplify right side
    6,186.96x = 23,112,803.26
  5. Step 5: Solve for x
    x = 23,112,803.26/6,186.96
  6. Step 6: Final answer
    x = 3,735.73

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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.