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Finding the Fourth Proportional to 9,676.27, 14,518.83 and 5,735.33

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Solution

The fourth proportional to 9,676.27, 14,518.83 and 5,735.33 is: 8,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.27 : 14,518.83 = 5,735.33 : x
  2. Step 2: Convert to fraction form
    9,676.27/14,518.83 = 5,735.33/x
  3. Step 3: Cross multiply
    9,676.27x = 14,518.83 × 5,735.33
  4. Step 4: Simplify right side
    9,676.27x = 83,270,281.26
  5. Step 5: Solve for x
    x = 83,270,281.26/9,676.27
  6. Step 6: Final answer
    x = 8,605.62

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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.