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Finding the Fourth Proportional to 6,314.28, 9,477.15 and 3,196.45

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Solution

The fourth proportional to 6,314.28, 9,477.15 and 3,196.45 is: 4,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.28 : 9,477.15 = 3,196.45 : x
  2. Step 2: Convert to fraction form
    6,314.28/9,477.15 = 3,196.45/x
  3. Step 3: Cross multiply
    6,314.28x = 9,477.15 × 3,196.45
  4. Step 4: Simplify right side
    6,314.28x = 30,293,236.12
  5. Step 5: Solve for x
    x = 30,293,236.12/6,314.28
  6. Step 6: Final answer
    x = 4,797.58

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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.