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Finding the Fourth Proportional to 9,185.46, 12,672.16 and 5,997.66

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Solution

The fourth proportional to 9,185.46, 12,672.16 and 5,997.66 is: 8,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.46 : 12,672.16 = 5,997.66 : x
  2. Step 2: Convert to fraction form
    9,185.46/12,672.16 = 5,997.66/x
  3. Step 3: Cross multiply
    9,185.46x = 12,672.16 × 5,997.66
  4. Step 4: Simplify right side
    9,185.46x = 76,003,267.12
  5. Step 5: Solve for x
    x = 76,003,267.12/9,185.46
  6. Step 6: Final answer
    x = 8,274.30

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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.