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Finding the Fourth Proportional to 6,709.86, 9,259.56 and 3,725.82

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Solution

The fourth proportional to 6,709.86, 9,259.56 and 3,725.82 is: 5,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.86 : 9,259.56 = 3,725.82 : x
  2. Step 2: Convert to fraction form
    6,709.86/9,259.56 = 3,725.82/x
  3. Step 3: Cross multiply
    6,709.86x = 9,259.56 × 3,725.82
  4. Step 4: Simplify right side
    6,709.86x = 34,499,453.84
  5. Step 5: Solve for x
    x = 34,499,453.84/6,709.86
  6. Step 6: Final answer
    x = 5,141.61

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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.