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Finding the Fourth Proportional to 6,725.60, 9,280.82 and 3,892.97

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Solution

The fourth proportional to 6,725.60, 9,280.82 and 3,892.97 is: 5,372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.60 : 9,280.82 = 3,892.97 : x
  2. Step 2: Convert to fraction form
    6,725.60/9,280.82 = 3,892.97/x
  3. Step 3: Cross multiply
    6,725.60x = 9,280.82 × 3,892.97
  4. Step 4: Simplify right side
    6,725.60x = 36,129,953.84
  5. Step 5: Solve for x
    x = 36,129,953.84/6,725.60
  6. Step 6: Final answer
    x = 5,372.00

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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.