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Finding the Fourth Proportional to 9,488.26, 14,231.78 and 2,913.90

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Solution

The fourth proportional to 9,488.26, 14,231.78 and 2,913.90 is: 4,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.26 : 14,231.78 = 2,913.90 : x
  2. Step 2: Convert to fraction form
    9,488.26/14,231.78 = 2,913.90/x
  3. Step 3: Cross multiply
    9,488.26x = 14,231.78 × 2,913.90
  4. Step 4: Simplify right side
    9,488.26x = 41,469,983.74
  5. Step 5: Solve for x
    x = 41,469,983.74/9,488.26
  6. Step 6: Final answer
    x = 4,370.66

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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.