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Finding the Fourth Proportional to 9,137.25, 13,706.91 and 3,589.87

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Solution

The fourth proportional to 9,137.25, 13,706.91 and 3,589.87 is: 5,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.25 : 13,706.91 = 3,589.87 : x
  2. Step 2: Convert to fraction form
    9,137.25/13,706.91 = 3,589.87/x
  3. Step 3: Cross multiply
    9,137.25x = 13,706.91 × 3,589.87
  4. Step 4: Simplify right side
    9,137.25x = 49,205,956.47
  5. Step 5: Solve for x
    x = 49,205,956.47/9,137.25
  6. Step 6: Final answer
    x = 5,385.20

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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.