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Finding the Fourth Proportional to 6,104.84, 9,141.39 and 5,232.92

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Solution

The fourth proportional to 6,104.84, 9,141.39 and 5,232.92 is: 7,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.84 : 9,141.39 = 5,232.92 : x
  2. Step 2: Convert to fraction form
    6,104.84/9,141.39 = 5,232.92/x
  3. Step 3: Cross multiply
    6,104.84x = 9,141.39 × 5,232.92
  4. Step 4: Simplify right side
    6,104.84x = 47,836,116.85
  5. Step 5: Solve for x
    x = 47,836,116.85/6,104.84
  6. Step 6: Final answer
    x = 7,835.78

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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.