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Finding the Fourth Proportional to 9,391.39, 12,963.37 and 5,414.08

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Solution

The fourth proportional to 9,391.39, 12,963.37 and 5,414.08 is: 7,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.39 : 12,963.37 = 5,414.08 : x
  2. Step 2: Convert to fraction form
    9,391.39/12,963.37 = 5,414.08/x
  3. Step 3: Cross multiply
    9,391.39x = 12,963.37 × 5,414.08
  4. Step 4: Simplify right side
    9,391.39x = 70,184,722.25
  5. Step 5: Solve for x
    x = 70,184,722.25/9,391.39
  6. Step 6: Final answer
    x = 7,473.31

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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.