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Finding the Fourth Proportional to 6,188.77, 9,284.78 and 3,266.29

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Solution

The fourth proportional to 6,188.77, 9,284.78 and 3,266.29 is: 4,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.77 : 9,284.78 = 3,266.29 : x
  2. Step 2: Convert to fraction form
    6,188.77/9,284.78 = 3,266.29/x
  3. Step 3: Cross multiply
    6,188.77x = 9,284.78 × 3,266.29
  4. Step 4: Simplify right side
    6,188.77x = 30,326,784.07
  5. Step 5: Solve for x
    x = 30,326,784.07/6,188.77
  6. Step 6: Final answer
    x = 4,900.29

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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.