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Finding the Fourth Proportional to 6,896.42, 9,516.93 and 3,752.54

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Solution

The fourth proportional to 6,896.42, 9,516.93 and 3,752.54 is: 5,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.42 : 9,516.93 = 3,752.54 : x
  2. Step 2: Convert to fraction form
    6,896.42/9,516.93 = 3,752.54/x
  3. Step 3: Cross multiply
    6,896.42x = 9,516.93 × 3,752.54
  4. Step 4: Simplify right side
    6,896.42x = 35,712,660.50
  5. Step 5: Solve for x
    x = 35,712,660.50/6,896.42
  6. Step 6: Final answer
    x = 5,178.43

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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.