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Finding the Fourth Proportional to 9,391.49, 12,963.15 and 5,415.26

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Solution

The fourth proportional to 9,391.49, 12,963.15 and 5,415.26 is: 7,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.49 : 12,963.15 = 5,415.26 : x
  2. Step 2: Convert to fraction form
    9,391.49/12,963.15 = 5,415.26/x
  3. Step 3: Cross multiply
    9,391.49x = 12,963.15 × 5,415.26
  4. Step 4: Simplify right side
    9,391.49x = 70,198,827.67
  5. Step 5: Solve for x
    x = 70,198,827.67/9,391.49
  6. Step 6: Final answer
    x = 7,474.73

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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.