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Finding the Fourth Proportional to 9,839.82, 14,743.32 and 8,090.22

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Solution

The fourth proportional to 9,839.82, 14,743.32 and 8,090.22 is: 12,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.82 : 14,743.32 = 8,090.22 : x
  2. Step 2: Convert to fraction form
    9,839.82/14,743.32 = 8,090.22/x
  3. Step 3: Cross multiply
    9,839.82x = 14,743.32 × 8,090.22
  4. Step 4: Simplify right side
    9,839.82x = 119,276,628.61
  5. Step 5: Solve for x
    x = 119,276,628.61/9,839.82
  6. Step 6: Final answer
    x = 12,121.84

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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.