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Finding the Fourth Proportional to 9,945.54, 13,726.17 and 6,419.03

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Solution

The fourth proportional to 9,945.54, 13,726.17 and 6,419.03 is: 8,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.54 : 13,726.17 = 6,419.03 : x
  2. Step 2: Convert to fraction form
    9,945.54/13,726.17 = 6,419.03/x
  3. Step 3: Cross multiply
    9,945.54x = 13,726.17 × 6,419.03
  4. Step 4: Simplify right side
    9,945.54x = 88,108,628.38
  5. Step 5: Solve for x
    x = 88,108,628.38/9,945.54
  6. Step 6: Final answer
    x = 8,859.11

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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.