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Finding the Fourth Proportional to 9,765.33, 14,641.49 and 3,189.21

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Solution

The fourth proportional to 9,765.33, 14,641.49 and 3,189.21 is: 4,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.33 : 14,641.49 = 3,189.21 : x
  2. Step 2: Convert to fraction form
    9,765.33/14,641.49 = 3,189.21/x
  3. Step 3: Cross multiply
    9,765.33x = 14,641.49 × 3,189.21
  4. Step 4: Simplify right side
    9,765.33x = 46,694,770.38
  5. Step 5: Solve for x
    x = 46,694,770.38/9,765.33
  6. Step 6: Final answer
    x = 4,781.69

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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.