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Finding the Fourth Proportional to 6,313.84, 9,476.61 and 3,196.05

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Solution

The fourth proportional to 6,313.84, 9,476.61 and 3,196.05 is: 4,797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.84 : 9,476.61 = 3,196.05 : x
  2. Step 2: Convert to fraction form
    6,313.84/9,476.61 = 3,196.05/x
  3. Step 3: Cross multiply
    6,313.84x = 9,476.61 × 3,196.05
  4. Step 4: Simplify right side
    6,313.84x = 30,287,719.39
  5. Step 5: Solve for x
    x = 30,287,719.39/6,313.84
  6. Step 6: Final answer
    x = 4,797.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.