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Finding the Fourth Proportional to 9,947.17, 13,726.83 and 5,471.38

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Solution

The fourth proportional to 9,947.17, 13,726.83 and 5,471.38 is: 7,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.17 : 13,726.83 = 5,471.38 : x
  2. Step 2: Convert to fraction form
    9,947.17/13,726.83 = 5,471.38/x
  3. Step 3: Cross multiply
    9,947.17x = 13,726.83 × 5,471.38
  4. Step 4: Simplify right side
    9,947.17x = 75,104,703.13
  5. Step 5: Solve for x
    x = 75,104,703.13/9,947.17
  6. Step 6: Final answer
    x = 7,550.36

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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.