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Finding the Fourth Proportional to 9,186.96, 12,674.24 and 5,999.16

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Solution

The fourth proportional to 9,186.96, 12,674.24 and 5,999.16 is: 8,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.96 : 12,674.24 = 5,999.16 : x
  2. Step 2: Convert to fraction form
    9,186.96/12,674.24 = 5,999.16/x
  3. Step 3: Cross multiply
    9,186.96x = 12,674.24 × 5,999.16
  4. Step 4: Simplify right side
    9,186.96x = 76,034,763.64
  5. Step 5: Solve for x
    x = 76,034,763.64/9,186.96
  6. Step 6: Final answer
    x = 8,276.38

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Why These Related Problems?

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