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Finding the Fourth Proportional to 10,003.92, 13,796.19 and 9,209.00

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Solution

The fourth proportional to 10,003.92, 13,796.19 and 9,209.00 is: 12,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.92 : 13,796.19 = 9,209.00 : x
  2. Step 2: Convert to fraction form
    10,003.92/13,796.19 = 9,209.00/x
  3. Step 3: Cross multiply
    10,003.92x = 13,796.19 × 9,209.00
  4. Step 4: Simplify right side
    10,003.92x = 127,049,148.20
  5. Step 5: Solve for x
    x = 127,049,148.20/10,003.92
  6. Step 6: Final answer
    x = 12,699.94

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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.