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Finding the Fourth Proportional to 9,983.31, 13,777.05 and 5,507.21

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Solution

The fourth proportional to 9,983.31, 13,777.05 and 5,507.21 is: 7,600.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.31 : 13,777.05 = 5,507.21 : x
  2. Step 2: Convert to fraction form
    9,983.31/13,777.05 = 5,507.21/x
  3. Step 3: Cross multiply
    9,983.31x = 13,777.05 × 5,507.21
  4. Step 4: Simplify right side
    9,983.31x = 75,873,141.97
  5. Step 5: Solve for x
    x = 75,873,141.97/9,983.31
  6. Step 6: Final answer
    x = 7,600.00

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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.