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Finding the Fourth Proportional to 9,292.28, 13,937.92 and 6,796.04

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Solution

The fourth proportional to 9,292.28, 13,937.92 and 6,796.04 is: 10,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.28 : 13,937.92 = 6,796.04 : x
  2. Step 2: Convert to fraction form
    9,292.28/13,937.92 = 6,796.04/x
  3. Step 3: Cross multiply
    9,292.28x = 13,937.92 × 6,796.04
  4. Step 4: Simplify right side
    9,292.28x = 94,722,661.84
  5. Step 5: Solve for x
    x = 94,722,661.84/9,292.28
  6. Step 6: Final answer
    x = 10,193.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.