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Finding the Fourth Proportional to 9,765.38, 14,644.42 and 3,189.80

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Solution

The fourth proportional to 9,765.38, 14,644.42 and 3,189.80 is: 4,783.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.38 : 14,644.42 = 3,189.80 : x
  2. Step 2: Convert to fraction form
    9,765.38/14,644.42 = 3,189.80/x
  3. Step 3: Cross multiply
    9,765.38x = 14,644.42 × 3,189.80
  4. Step 4: Simplify right side
    9,765.38x = 46,712,799.55
  5. Step 5: Solve for x
    x = 46,712,799.55/9,765.38
  6. Step 6: Final answer
    x = 4,783.51

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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.