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Finding the Fourth Proportional to 9,543.49, 13,171.76 and 5,960.05

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Solution

The fourth proportional to 9,543.49, 13,171.76 and 5,960.05 is: 8,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.49 : 13,171.76 = 5,960.05 : x
  2. Step 2: Convert to fraction form
    9,543.49/13,171.76 = 5,960.05/x
  3. Step 3: Cross multiply
    9,543.49x = 13,171.76 × 5,960.05
  4. Step 4: Simplify right side
    9,543.49x = 78,504,341.33
  5. Step 5: Solve for x
    x = 78,504,341.33/9,543.49
  6. Step 6: Final answer
    x = 8,225.96

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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.