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Finding the Fourth Proportional to 9,393.88, 12,960.61 and 5,414.46

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Solution

The fourth proportional to 9,393.88, 12,960.61 and 5,414.46 is: 7,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.88 : 12,960.61 = 5,414.46 : x
  2. Step 2: Convert to fraction form
    9,393.88/12,960.61 = 5,414.46/x
  3. Step 3: Cross multiply
    9,393.88x = 12,960.61 × 5,414.46
  4. Step 4: Simplify right side
    9,393.88x = 70,174,704.42
  5. Step 5: Solve for x
    x = 70,174,704.42/9,393.88
  6. Step 6: Final answer
    x = 7,470.26

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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.