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Finding the Fourth Proportional to 9,488.10, 14,244.30 and 5,049.30

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Solution

The fourth proportional to 9,488.10, 14,244.30 and 5,049.30 is: 7,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.10 : 14,244.30 = 5,049.30 : x
  2. Step 2: Convert to fraction form
    9,488.10/14,244.30 = 5,049.30/x
  3. Step 3: Cross multiply
    9,488.10x = 14,244.30 × 5,049.30
  4. Step 4: Simplify right side
    9,488.10x = 71,923,743.99
  5. Step 5: Solve for x
    x = 71,923,743.99/9,488.10
  6. Step 6: Final answer
    x = 7,580.42

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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.