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Finding the Fourth Proportional to 9,273.30, 12,797.39 and 5,294.78

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Solution

The fourth proportional to 9,273.30, 12,797.39 and 5,294.78 is: 7,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.30 : 12,797.39 = 5,294.78 : x
  2. Step 2: Convert to fraction form
    9,273.30/12,797.39 = 5,294.78/x
  3. Step 3: Cross multiply
    9,273.30x = 12,797.39 × 5,294.78
  4. Step 4: Simplify right side
    9,273.30x = 67,759,370.14
  5. Step 5: Solve for x
    x = 67,759,370.14/9,273.30
  6. Step 6: Final answer
    x = 7,306.93

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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.