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Finding the Fourth Proportional to 9,712.20, 13,404.24 and 6,180.60

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Solution

The fourth proportional to 9,712.20, 13,404.24 and 6,180.60 is: 8,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.20 : 13,404.24 = 6,180.60 : x
  2. Step 2: Convert to fraction form
    9,712.20/13,404.24 = 6,180.60/x
  3. Step 3: Cross multiply
    9,712.20x = 13,404.24 × 6,180.60
  4. Step 4: Simplify right side
    9,712.20x = 82,846,245.74
  5. Step 5: Solve for x
    x = 82,846,245.74/9,712.20
  6. Step 6: Final answer
    x = 8,530.12

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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.