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Finding the Fourth Proportional to 9,961.46, 14,928.21 and 7,872.28

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Solution

The fourth proportional to 9,961.46, 14,928.21 and 7,872.28 is: 11,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.46 : 14,928.21 = 7,872.28 : x
  2. Step 2: Convert to fraction form
    9,961.46/14,928.21 = 7,872.28/x
  3. Step 3: Cross multiply
    9,961.46x = 14,928.21 × 7,872.28
  4. Step 4: Simplify right side
    9,961.46x = 117,519,009.66
  5. Step 5: Solve for x
    x = 117,519,009.66/9,961.46
  6. Step 6: Final answer
    x = 11,797.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.