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Finding the Fourth Proportional to 6,318.30, 9,477.45 and 3,397.98

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Solution

The fourth proportional to 6,318.30, 9,477.45 and 3,397.98 is: 5,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.30 : 9,477.45 = 3,397.98 : x
  2. Step 2: Convert to fraction form
    6,318.30/9,477.45 = 3,397.98/x
  3. Step 3: Cross multiply
    6,318.30x = 9,477.45 × 3,397.98
  4. Step 4: Simplify right side
    6,318.30x = 32,204,185.55
  5. Step 5: Solve for x
    x = 32,204,185.55/6,318.30
  6. Step 6: Final answer
    x = 5,096.97

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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.