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Finding the Fourth Proportional to 9,393.96, 12,963.20 and 5,414.84

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Solution

The fourth proportional to 9,393.96, 12,963.20 and 5,414.84 is: 7,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.96 : 12,963.20 = 5,414.84 : x
  2. Step 2: Convert to fraction form
    9,393.96/12,963.20 = 5,414.84/x
  3. Step 3: Cross multiply
    9,393.96x = 12,963.20 × 5,414.84
  4. Step 4: Simplify right side
    9,393.96x = 70,193,653.89
  5. Step 5: Solve for x
    x = 70,193,653.89/9,393.96
  6. Step 6: Final answer
    x = 7,472.21

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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.