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Finding the Fourth Proportional to 6,335.68, 8,743.08 and 3,683.92

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Solution

The fourth proportional to 6,335.68, 8,743.08 and 3,683.92 is: 5,083.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.68 : 8,743.08 = 3,683.92 : x
  2. Step 2: Convert to fraction form
    6,335.68/8,743.08 = 3,683.92/x
  3. Step 3: Cross multiply
    6,335.68x = 8,743.08 × 3,683.92
  4. Step 4: Simplify right side
    6,335.68x = 32,208,807.27
  5. Step 5: Solve for x
    x = 32,208,807.27/6,335.68
  6. Step 6: Final answer
    x = 5,083.72

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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.