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Finding the Fourth Proportional to 9,725.68, 14,591.28 and 4,796.80

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Solution

The fourth proportional to 9,725.68, 14,591.28 and 4,796.80 is: 7,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.68 : 14,591.28 = 4,796.80 : x
  2. Step 2: Convert to fraction form
    9,725.68/14,591.28 = 4,796.80/x
  3. Step 3: Cross multiply
    9,725.68x = 14,591.28 × 4,796.80
  4. Step 4: Simplify right side
    9,725.68x = 69,991,451.90
  5. Step 5: Solve for x
    x = 69,991,451.90/9,725.68
  6. Step 6: Final answer
    x = 7,196.56

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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.