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Finding the Fourth Proportional to 9,983.62, 13,778.22 and 5,507.80

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Solution

The fourth proportional to 9,983.62, 13,778.22 and 5,507.80 is: 7,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.62 : 13,778.22 = 5,507.80 : x
  2. Step 2: Convert to fraction form
    9,983.62/13,778.22 = 5,507.80/x
  3. Step 3: Cross multiply
    9,983.62x = 13,778.22 × 5,507.80
  4. Step 4: Simplify right side
    9,983.62x = 75,887,680.12
  5. Step 5: Solve for x
    x = 75,887,680.12/9,983.62
  6. Step 6: Final answer
    x = 7,601.22

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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.