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Finding the Fourth Proportional to 9,947.75, 13,728.02 and 5,471.69

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Solution

The fourth proportional to 9,947.75, 13,728.02 and 5,471.69 is: 7,551.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.75 : 13,728.02 = 5,471.69 : x
  2. Step 2: Convert to fraction form
    9,947.75/13,728.02 = 5,471.69/x
  3. Step 3: Cross multiply
    9,947.75x = 13,728.02 × 5,471.69
  4. Step 4: Simplify right side
    9,947.75x = 75,115,373.76
  5. Step 5: Solve for x
    x = 75,115,373.76/9,947.75
  6. Step 6: Final answer
    x = 7,551.00

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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.