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Finding the Fourth Proportional to 6,529.92, 9,009.54 and 4,174.44

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Solution

The fourth proportional to 6,529.92, 9,009.54 and 4,174.44 is: 5,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.92 : 9,009.54 = 4,174.44 : x
  2. Step 2: Convert to fraction form
    6,529.92/9,009.54 = 4,174.44/x
  3. Step 3: Cross multiply
    6,529.92x = 9,009.54 × 4,174.44
  4. Step 4: Simplify right side
    6,529.92x = 37,609,784.16
  5. Step 5: Solve for x
    x = 37,609,784.16/6,529.92
  6. Step 6: Final answer
    x = 5,759.61

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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.