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Finding the Fourth Proportional to 9,488.45, 14,234.52 and 3,644.63

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Solution

The fourth proportional to 9,488.45, 14,234.52 and 3,644.63 is: 5,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.45 : 14,234.52 = 3,644.63 : x
  2. Step 2: Convert to fraction form
    9,488.45/14,234.52 = 3,644.63/x
  3. Step 3: Cross multiply
    9,488.45x = 14,234.52 × 3,644.63
  4. Step 4: Simplify right side
    9,488.45x = 51,879,558.63
  5. Step 5: Solve for x
    x = 51,879,558.63/9,488.45
  6. Step 6: Final answer
    x = 5,467.65

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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.