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Finding the Fourth Proportional to 9,983.79, 13,777.74 and 5,507.71

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Solution

The fourth proportional to 9,983.79, 13,777.74 and 5,507.71 is: 7,600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.79 : 13,777.74 = 5,507.71 : x
  2. Step 2: Convert to fraction form
    9,983.79/13,777.74 = 5,507.71/x
  3. Step 3: Cross multiply
    9,983.79x = 13,777.74 × 5,507.71
  4. Step 4: Simplify right side
    9,983.79x = 75,883,761.93
  5. Step 5: Solve for x
    x = 75,883,761.93/9,983.79
  6. Step 6: Final answer
    x = 7,600.70

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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.