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Finding the Fourth Proportional to 9,180.66, 12,662.24 and 6,191.76

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Solution

The fourth proportional to 9,180.66, 12,662.24 and 6,191.76 is: 8,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.66 : 12,662.24 = 6,191.76 : x
  2. Step 2: Convert to fraction form
    9,180.66/12,662.24 = 6,191.76/x
  3. Step 3: Cross multiply
    9,180.66x = 12,662.24 × 6,191.76
  4. Step 4: Simplify right side
    9,180.66x = 78,401,551.14
  5. Step 5: Solve for x
    x = 78,401,551.14/9,180.66
  6. Step 6: Final answer
    x = 8,539.86

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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.