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Finding the Fourth Proportional to 9,644.56, 14,468.72 and 3,404.80

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Solution

The fourth proportional to 9,644.56, 14,468.72 and 3,404.80 is: 5,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.56 : 14,468.72 = 3,404.80 : x
  2. Step 2: Convert to fraction form
    9,644.56/14,468.72 = 3,404.80/x
  3. Step 3: Cross multiply
    9,644.56x = 14,468.72 × 3,404.80
  4. Step 4: Simplify right side
    9,644.56x = 49,263,097.86
  5. Step 5: Solve for x
    x = 49,263,097.86/9,644.56
  6. Step 6: Final answer
    x = 5,107.86

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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.