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Finding the Fourth Proportional to 9,809.28, 13,546.44 and 7,115.76

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Solution

The fourth proportional to 9,809.28, 13,546.44 and 7,115.76 is: 9,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.28 : 13,546.44 = 7,115.76 : x
  2. Step 2: Convert to fraction form
    9,809.28/13,546.44 = 7,115.76/x
  3. Step 3: Cross multiply
    9,809.28x = 13,546.44 × 7,115.76
  4. Step 4: Simplify right side
    9,809.28x = 96,393,215.89
  5. Step 5: Solve for x
    x = 96,393,215.89/9,809.28
  6. Step 6: Final answer
    x = 9,826.74

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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.