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Finding the Fourth Proportional to 10,243.44, 14,201.10 and 9,883.08

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Solution

The fourth proportional to 10,243.44, 14,201.10 and 9,883.08 is: 13,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.44 : 14,201.10 = 9,883.08 : x
  2. Step 2: Convert to fraction form
    10,243.44/14,201.10 = 9,883.08/x
  3. Step 3: Cross multiply
    10,243.44x = 14,201.10 × 9,883.08
  4. Step 4: Simplify right side
    10,243.44x = 140,350,607.39
  5. Step 5: Solve for x
    x = 140,350,607.39/10,243.44
  6. Step 6: Final answer
    x = 13,701.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.