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Finding the Fourth Proportional to 9,983.80, 13,777.49 and 5,507.54

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Solution

The fourth proportional to 9,983.80, 13,777.49 and 5,507.54 is: 7,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.80 : 13,777.49 = 5,507.54 : x
  2. Step 2: Convert to fraction form
    9,983.80/13,777.49 = 5,507.54/x
  3. Step 3: Cross multiply
    9,983.80x = 13,777.49 × 5,507.54
  4. Step 4: Simplify right side
    9,983.80x = 75,880,008.39
  5. Step 5: Solve for x
    x = 75,880,008.39/9,983.80
  6. Step 6: Final answer
    x = 7,600.32

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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.