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Finding the Fourth Proportional to 9,872.45, 14,796.70 and 7,251.08

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Solution

The fourth proportional to 9,872.45, 14,796.70 and 7,251.08 is: 10,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.45 : 14,796.70 = 7,251.08 : x
  2. Step 2: Convert to fraction form
    9,872.45/14,796.70 = 7,251.08/x
  3. Step 3: Cross multiply
    9,872.45x = 14,796.70 × 7,251.08
  4. Step 4: Simplify right side
    9,872.45x = 107,292,055.44
  5. Step 5: Solve for x
    x = 107,292,055.44/9,872.45
  6. Step 6: Final answer
    x = 10,867.82

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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.