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Finding the Fourth Proportional to 6,196.53, 8,555.66 and 3,809.71

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Solution

The fourth proportional to 6,196.53, 8,555.66 and 3,809.71 is: 5,260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.53 : 8,555.66 = 3,809.71 : x
  2. Step 2: Convert to fraction form
    6,196.53/8,555.66 = 3,809.71/x
  3. Step 3: Cross multiply
    6,196.53x = 8,555.66 × 3,809.71
  4. Step 4: Simplify right side
    6,196.53x = 32,594,543.02
  5. Step 5: Solve for x
    x = 32,594,543.02/6,196.53
  6. Step 6: Final answer
    x = 5,260.13

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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.