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Finding the Fourth Proportional to 6,330.38, 9,471.47 and 3,822.33

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Solution

The fourth proportional to 6,330.38, 9,471.47 and 3,822.33 is: 5,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.38 : 9,471.47 = 3,822.33 : x
  2. Step 2: Convert to fraction form
    6,330.38/9,471.47 = 3,822.33/x
  3. Step 3: Cross multiply
    6,330.38x = 9,471.47 × 3,822.33
  4. Step 4: Simplify right side
    6,330.38x = 36,203,079.15
  5. Step 5: Solve for x
    x = 36,203,079.15/6,330.38
  6. Step 6: Final answer
    x = 5,718.95

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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.