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Finding the Fourth Proportional to 6,270.14, 9,405.54 and 3,310.40

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Solution

The fourth proportional to 6,270.14, 9,405.54 and 3,310.40 is: 4,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.14 : 9,405.54 = 3,310.40 : x
  2. Step 2: Convert to fraction form
    6,270.14/9,405.54 = 3,310.40/x
  3. Step 3: Cross multiply
    6,270.14x = 9,405.54 × 3,310.40
  4. Step 4: Simplify right side
    6,270.14x = 31,136,099.62
  5. Step 5: Solve for x
    x = 31,136,099.62/6,270.14
  6. Step 6: Final answer
    x = 4,965.77

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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.