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Finding the Fourth Proportional to 9,835.44, 13,561.10 and 8,036.27

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Solution

The fourth proportional to 9,835.44, 13,561.10 and 8,036.27 is: 11,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.44 : 13,561.10 = 8,036.27 : x
  2. Step 2: Convert to fraction form
    9,835.44/13,561.10 = 8,036.27/x
  3. Step 3: Cross multiply
    9,835.44x = 13,561.10 × 8,036.27
  4. Step 4: Simplify right side
    9,835.44x = 108,980,553.11
  5. Step 5: Solve for x
    x = 108,980,553.11/9,835.44
  6. Step 6: Final answer
    x = 11,080.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.