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Finding the Fourth Proportional to 9,311.54, 12,849.60 and 5,119.76

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Solution

The fourth proportional to 9,311.54, 12,849.60 and 5,119.76 is: 7,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.54 : 12,849.60 = 5,119.76 : x
  2. Step 2: Convert to fraction form
    9,311.54/12,849.60 = 5,119.76/x
  3. Step 3: Cross multiply
    9,311.54x = 12,849.60 × 5,119.76
  4. Step 4: Simplify right side
    9,311.54x = 65,786,868.10
  5. Step 5: Solve for x
    x = 65,786,868.10/9,311.54
  6. Step 6: Final answer
    x = 7,065.09

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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.