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Finding the Fourth Proportional to 9,546.63, 13,171.65 and 6,189.59

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Solution

The fourth proportional to 9,546.63, 13,171.65 and 6,189.59 is: 8,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.63 : 13,171.65 = 6,189.59 : x
  2. Step 2: Convert to fraction form
    9,546.63/13,171.65 = 6,189.59/x
  3. Step 3: Cross multiply
    9,546.63x = 13,171.65 × 6,189.59
  4. Step 4: Simplify right side
    9,546.63x = 81,527,113.12
  5. Step 5: Solve for x
    x = 81,527,113.12/9,546.63
  6. Step 6: Final answer
    x = 8,539.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.