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Finding the Fourth Proportional to 6,478.16, 8,939.04 and 3,683.72

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Solution

The fourth proportional to 6,478.16, 8,939.04 and 3,683.72 is: 5,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.16 : 8,939.04 = 3,683.72 : x
  2. Step 2: Convert to fraction form
    6,478.16/8,939.04 = 3,683.72/x
  3. Step 3: Cross multiply
    6,478.16x = 8,939.04 × 3,683.72
  4. Step 4: Simplify right side
    6,478.16x = 32,928,920.43
  5. Step 5: Solve for x
    x = 32,928,920.43/6,478.16
  6. Step 6: Final answer
    x = 5,083.07

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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.