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Finding the Fourth Proportional to 9,292.57, 12,819.45 and 5,933.68

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Solution

The fourth proportional to 9,292.57, 12,819.45 and 5,933.68 is: 8,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.57 : 12,819.45 = 5,933.68 : x
  2. Step 2: Convert to fraction form
    9,292.57/12,819.45 = 5,933.68/x
  3. Step 3: Cross multiply
    9,292.57x = 12,819.45 × 5,933.68
  4. Step 4: Simplify right side
    9,292.57x = 76,066,514.08
  5. Step 5: Solve for x
    x = 76,066,514.08/9,292.57
  6. Step 6: Final answer
    x = 8,185.73

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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.