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Finding the Fourth Proportional to 9,414.90, 14,121.90 and 3,174.30

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Solution

The fourth proportional to 9,414.90, 14,121.90 and 3,174.30 is: 4,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.90 : 14,121.90 = 3,174.30 : x
  2. Step 2: Convert to fraction form
    9,414.90/14,121.90 = 3,174.30/x
  3. Step 3: Cross multiply
    9,414.90x = 14,121.90 × 3,174.30
  4. Step 4: Simplify right side
    9,414.90x = 44,827,147.17
  5. Step 5: Solve for x
    x = 44,827,147.17/9,414.90
  6. Step 6: Final answer
    x = 4,761.30

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Why These Related Problems?

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