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Finding the Fourth Proportional to 9,306.66, 12,843.19 and 5,327.78

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Solution

The fourth proportional to 9,306.66, 12,843.19 and 5,327.78 is: 7,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.66 : 12,843.19 = 5,327.78 : x
  2. Step 2: Convert to fraction form
    9,306.66/12,843.19 = 5,327.78/x
  3. Step 3: Cross multiply
    9,306.66x = 12,843.19 × 5,327.78
  4. Step 4: Simplify right side
    9,306.66x = 68,425,633.26
  5. Step 5: Solve for x
    x = 68,425,633.26/9,306.66
  6. Step 6: Final answer
    x = 7,352.33

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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.