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Finding the Fourth Proportional to 9,141.30, 13,706.76 and 3,591.61

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Solution

The fourth proportional to 9,141.30, 13,706.76 and 3,591.61 is: 5,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.30 : 13,706.76 = 3,591.61 : x
  2. Step 2: Convert to fraction form
    9,141.30/13,706.76 = 3,591.61/x
  3. Step 3: Cross multiply
    9,141.30x = 13,706.76 × 3,591.61
  4. Step 4: Simplify right side
    9,141.30x = 49,229,336.28
  5. Step 5: Solve for x
    x = 49,229,336.28/9,141.30
  6. Step 6: Final answer
    x = 5,385.38

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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.