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Finding the Fourth Proportional to 9,536.27, 14,294.07 and 3,992.63

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Solution

The fourth proportional to 9,536.27, 14,294.07 and 3,992.63 is: 5,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.27 : 14,294.07 = 3,992.63 : x
  2. Step 2: Convert to fraction form
    9,536.27/14,294.07 = 3,992.63/x
  3. Step 3: Cross multiply
    9,536.27x = 14,294.07 × 3,992.63
  4. Step 4: Simplify right side
    9,536.27x = 57,070,861.23
  5. Step 5: Solve for x
    x = 57,070,861.23/9,536.27
  6. Step 6: Final answer
    x = 5,984.61

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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.