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Finding the Fourth Proportional to 9,414.80, 14,138.40 and 5,040.80

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Solution

The fourth proportional to 9,414.80, 14,138.40 and 5,040.80 is: 7,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.80 : 14,138.40 = 5,040.80 : x
  2. Step 2: Convert to fraction form
    9,414.80/14,138.40 = 5,040.80/x
  3. Step 3: Cross multiply
    9,414.80x = 14,138.40 × 5,040.80
  4. Step 4: Simplify right side
    9,414.80x = 71,268,846.72
  5. Step 5: Solve for x
    x = 71,268,846.72/9,414.80
  6. Step 6: Final answer
    x = 7,569.87

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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.