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Finding the Fourth Proportional to 9,393.81, 12,963.38 and 5,414.84

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Solution

The fourth proportional to 9,393.81, 12,963.38 and 5,414.84 is: 7,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.81 : 12,963.38 = 5,414.84 : x
  2. Step 2: Convert to fraction form
    9,393.81/12,963.38 = 5,414.84/x
  3. Step 3: Cross multiply
    9,393.81x = 12,963.38 × 5,414.84
  4. Step 4: Simplify right side
    9,393.81x = 70,194,536.67
  5. Step 5: Solve for x
    x = 70,194,536.67/9,393.81
  6. Step 6: Final answer
    x = 7,472.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.