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Finding the Fourth Proportional to 9,983.80, 13,777.70 and 5,507.68

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Solution

The fourth proportional to 9,983.80, 13,777.70 and 5,507.68 is: 7,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.80 : 13,777.70 = 5,507.68 : x
  2. Step 2: Convert to fraction form
    9,983.80/13,777.70 = 5,507.68/x
  3. Step 3: Cross multiply
    9,983.80x = 13,777.70 × 5,507.68
  4. Step 4: Simplify right side
    9,983.80x = 75,883,162.74
  5. Step 5: Solve for x
    x = 75,883,162.74/9,983.80
  6. Step 6: Final answer
    x = 7,600.63

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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.