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Finding the Fourth Proportional to 9,996.25, 13,796.04 and 5,804.50

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Solution

The fourth proportional to 9,996.25, 13,796.04 and 5,804.50 is: 8,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.25 : 13,796.04 = 5,804.50 : x
  2. Step 2: Convert to fraction form
    9,996.25/13,796.04 = 5,804.50/x
  3. Step 3: Cross multiply
    9,996.25x = 13,796.04 × 5,804.50
  4. Step 4: Simplify right side
    9,996.25x = 80,079,114.18
  5. Step 5: Solve for x
    x = 80,079,114.18/9,996.25
  6. Step 6: Final answer
    x = 8,010.92

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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.