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Finding the Fourth Proportional to 9,273.42, 12,797.19 and 5,294.43

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Solution

The fourth proportional to 9,273.42, 12,797.19 and 5,294.43 is: 7,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.42 : 12,797.19 = 5,294.43 : x
  2. Step 2: Convert to fraction form
    9,273.42/12,797.19 = 5,294.43/x
  3. Step 3: Cross multiply
    9,273.42x = 12,797.19 × 5,294.43
  4. Step 4: Simplify right side
    9,273.42x = 67,753,826.65
  5. Step 5: Solve for x
    x = 67,753,826.65/9,273.42
  6. Step 6: Final answer
    x = 7,306.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.