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Finding the Fourth Proportional to 35,489.85, 53,234.77 and 9,194.60

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Solution

The fourth proportional to 35,489.85, 53,234.77 and 9,194.60 is: 13,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,489.85 : 53,234.77 = 9,194.60 : x
  2. Step 2: Convert to fraction form
    35,489.85/53,234.77 = 9,194.60/x
  3. Step 3: Cross multiply
    35,489.85x = 53,234.77 × 9,194.60
  4. Step 4: Simplify right side
    35,489.85x = 489,472,416.24
  5. Step 5: Solve for x
    x = 489,472,416.24/35,489.85
  6. Step 6: Final answer
    x = 13,791.90

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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.