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Finding the Fourth Proportional to 9,760.14, 14,640.81 and 3,915.99

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Solution

The fourth proportional to 9,760.14, 14,640.81 and 3,915.99 is: 5,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.14 : 14,640.81 = 3,915.99 : x
  2. Step 2: Convert to fraction form
    9,760.14/14,640.81 = 3,915.99/x
  3. Step 3: Cross multiply
    9,760.14x = 14,640.81 × 3,915.99
  4. Step 4: Simplify right side
    9,760.14x = 57,333,265.55
  5. Step 5: Solve for x
    x = 57,333,265.55/9,760.14
  6. Step 6: Final answer
    x = 5,874.23

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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.