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Finding the Fourth Proportional to 6,829.92, 9,432.72 and 5,946.48

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Solution

The fourth proportional to 6,829.92, 9,432.72 and 5,946.48 is: 8,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.92 : 9,432.72 = 5,946.48 : x
  2. Step 2: Convert to fraction form
    6,829.92/9,432.72 = 5,946.48/x
  3. Step 3: Cross multiply
    6,829.92x = 9,432.72 × 5,946.48
  4. Step 4: Simplify right side
    6,829.92x = 56,091,480.83
  5. Step 5: Solve for x
    x = 56,091,480.83/6,829.92
  6. Step 6: Final answer
    x = 8,212.61

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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.