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Finding the Fourth Proportional to 6,535.28, 9,014.61 and 5,737.97

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Solution

The fourth proportional to 6,535.28, 9,014.61 and 5,737.97 is: 7,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.28 : 9,014.61 = 5,737.97 : x
  2. Step 2: Convert to fraction form
    6,535.28/9,014.61 = 5,737.97/x
  3. Step 3: Cross multiply
    6,535.28x = 9,014.61 × 5,737.97
  4. Step 4: Simplify right side
    6,535.28x = 51,725,487.98
  5. Step 5: Solve for x
    x = 51,725,487.98/6,535.28
  6. Step 6: Final answer
    x = 7,914.81

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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.