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Finding the Fourth Proportional to 6,188.69, 9,283.02 and 5,353.26

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Solution

The fourth proportional to 6,188.69, 9,283.02 and 5,353.26 is: 8,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.69 : 9,283.02 = 5,353.26 : x
  2. Step 2: Convert to fraction form
    6,188.69/9,283.02 = 5,353.26/x
  3. Step 3: Cross multiply
    6,188.69x = 9,283.02 × 5,353.26
  4. Step 4: Simplify right side
    6,188.69x = 49,694,394.87
  5. Step 5: Solve for x
    x = 49,694,394.87/6,188.69
  6. Step 6: Final answer
    x = 8,029.88

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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.