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Finding the Fourth Proportional to 10,496.40, 14,493.78 and 9,375.36

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Solution

The fourth proportional to 10,496.40, 14,493.78 and 9,375.36 is: 12,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.40 : 14,493.78 = 9,375.36 : x
  2. Step 2: Convert to fraction form
    10,496.40/14,493.78 = 9,375.36/x
  3. Step 3: Cross multiply
    10,496.40x = 14,493.78 × 9,375.36
  4. Step 4: Simplify right side
    10,496.40x = 135,884,405.26
  5. Step 5: Solve for x
    x = 135,884,405.26/10,496.40
  6. Step 6: Final answer
    x = 12,945.81

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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.