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Finding the Fourth Proportional to 9,188.44, 13,785.90 and 3,645.61

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Solution

The fourth proportional to 9,188.44, 13,785.90 and 3,645.61 is: 5,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.44 : 13,785.90 = 3,645.61 : x
  2. Step 2: Convert to fraction form
    9,188.44/13,785.90 = 3,645.61/x
  3. Step 3: Cross multiply
    9,188.44x = 13,785.90 × 3,645.61
  4. Step 4: Simplify right side
    9,188.44x = 50,257,966.76
  5. Step 5: Solve for x
    x = 50,257,966.76/9,188.44
  6. Step 6: Final answer
    x = 5,469.70

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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.