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Finding the Fourth Proportional to 6,311.84, 9,468.12 and 4,833.14

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Solution

The fourth proportional to 6,311.84, 9,468.12 and 4,833.14 is: 7,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.84 : 9,468.12 = 4,833.14 : x
  2. Step 2: Convert to fraction form
    6,311.84/9,468.12 = 4,833.14/x
  3. Step 3: Cross multiply
    6,311.84x = 9,468.12 × 4,833.14
  4. Step 4: Simplify right side
    6,311.84x = 45,760,749.50
  5. Step 5: Solve for x
    x = 45,760,749.50/6,311.84
  6. Step 6: Final answer
    x = 7,249.99

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Why These Related Problems?

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