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Finding the Fourth Proportional to 9,947.16, 13,726.84 and 5,471.40

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Solution

The fourth proportional to 9,947.16, 13,726.84 and 5,471.40 is: 7,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.16 : 13,726.84 = 5,471.40 : x
  2. Step 2: Convert to fraction form
    9,947.16/13,726.84 = 5,471.40/x
  3. Step 3: Cross multiply
    9,947.16x = 13,726.84 × 5,471.40
  4. Step 4: Simplify right side
    9,947.16x = 75,105,032.38
  5. Step 5: Solve for x
    x = 75,105,032.38/9,947.16
  6. Step 6: Final answer
    x = 7,550.40

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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.