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Finding the Fourth Proportional to 9,850.90, 14,731.39 and 7,353.81

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Solution

The fourth proportional to 9,850.90, 14,731.39 and 7,353.81 is: 10,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.90 : 14,731.39 = 7,353.81 : x
  2. Step 2: Convert to fraction form
    9,850.90/14,731.39 = 7,353.81/x
  3. Step 3: Cross multiply
    9,850.90x = 14,731.39 × 7,353.81
  4. Step 4: Simplify right side
    9,850.90x = 108,331,843.10
  5. Step 5: Solve for x
    x = 108,331,843.10/9,850.90
  6. Step 6: Final answer
    x = 10,997.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.