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Finding the Fourth Proportional to 6,119.45, 9,151.11 and 4,560.54

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Solution

The fourth proportional to 6,119.45, 9,151.11 and 4,560.54 is: 6,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119.45 : 9,151.11 = 4,560.54 : x
  2. Step 2: Convert to fraction form
    6,119.45/9,151.11 = 4,560.54/x
  3. Step 3: Cross multiply
    6,119.45x = 9,151.11 × 4,560.54
  4. Step 4: Simplify right side
    6,119.45x = 41,733,968.88
  5. Step 5: Solve for x
    x = 41,733,968.88/6,119.45
  6. Step 6: Final answer
    x = 6,819.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.