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Finding the Fourth Proportional to 6,335.28, 8,742.74 and 3,683.34

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Solution

The fourth proportional to 6,335.28, 8,742.74 and 3,683.34 is: 5,083.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.28 : 8,742.74 = 3,683.34 : x
  2. Step 2: Convert to fraction form
    6,335.28/8,742.74 = 3,683.34/x
  3. Step 3: Cross multiply
    6,335.28x = 8,742.74 × 3,683.34
  4. Step 4: Simplify right side
    6,335.28x = 32,202,465.53
  5. Step 5: Solve for x
    x = 32,202,465.53/6,335.28
  6. Step 6: Final answer
    x = 5,083.04

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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.