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Finding the Fourth Proportional to 27,292.86, 40,958.09 and 9,523.62

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Solution

The fourth proportional to 27,292.86, 40,958.09 and 9,523.62 is: 14,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,292.86 : 40,958.09 = 9,523.62 : x
  2. Step 2: Convert to fraction form
    27,292.86/40,958.09 = 9,523.62/x
  3. Step 3: Cross multiply
    27,292.86x = 40,958.09 × 9,523.62
  4. Step 4: Simplify right side
    27,292.86x = 390,069,285.09
  5. Step 5: Solve for x
    x = 390,069,285.09/27,292.86
  6. Step 6: Final answer
    x = 14,291.99

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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.