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Finding the Fourth Proportional to 6,336.18, 8,743.86 and 3,683.61

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Solution

The fourth proportional to 6,336.18, 8,743.86 and 3,683.61 is: 5,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.18 : 8,743.86 = 3,683.61 : x
  2. Step 2: Convert to fraction form
    6,336.18/8,743.86 = 3,683.61/x
  3. Step 3: Cross multiply
    6,336.18x = 8,743.86 × 3,683.61
  4. Step 4: Simplify right side
    6,336.18x = 32,208,970.13
  5. Step 5: Solve for x
    x = 32,208,970.13/6,336.18
  6. Step 6: Final answer
    x = 5,083.34

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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.