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Finding the Fourth Proportional to 6,188.36, 9,284.28 and 2,493.16

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Solution

The fourth proportional to 6,188.36, 9,284.28 and 2,493.16 is: 3,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.36 : 9,284.28 = 2,493.16 : x
  2. Step 2: Convert to fraction form
    6,188.36/9,284.28 = 2,493.16/x
  3. Step 3: Cross multiply
    6,188.36x = 9,284.28 × 2,493.16
  4. Step 4: Simplify right side
    6,188.36x = 23,147,195.52
  5. Step 5: Solve for x
    x = 23,147,195.52/6,188.36
  6. Step 6: Final answer
    x = 3,740.44

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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.