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Finding the Fourth Proportional to 9,584.08, 14,373 and 3,742.72

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Solution

The fourth proportional to 9,584.08, 14,373 and 3,742.72 is: 5,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.08 : 14,373 = 3,742.72 : x
  2. Step 2: Convert to fraction form
    9,584.08/14,373 = 3,742.72/x
  3. Step 3: Cross multiply
    9,584.08x = 14,373 × 3,742.72
  4. Step 4: Simplify right side
    9,584.08x = 53,794,114.56
  5. Step 5: Solve for x
    x = 53,794,114.56/9,584.08
  6. Step 6: Final answer
    x = 5,612.86

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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.