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Finding the Fourth Proportional to 9,947.34, 13,726.94 and 5,471.02

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Solution

The fourth proportional to 9,947.34, 13,726.94 and 5,471.02 is: 7,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.34 : 13,726.94 = 5,471.02 : x
  2. Step 2: Convert to fraction form
    9,947.34/13,726.94 = 5,471.02/x
  3. Step 3: Cross multiply
    9,947.34x = 13,726.94 × 5,471.02
  4. Step 4: Simplify right side
    9,947.34x = 75,100,363.28
  5. Step 5: Solve for x
    x = 75,100,363.28/9,947.34
  6. Step 6: Final answer
    x = 7,549.79

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