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Finding the Fourth Proportional to 9,147.57, 13,725.98 and 3,883.92

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Solution

The fourth proportional to 9,147.57, 13,725.98 and 3,883.92 is: 5,827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.57 : 13,725.98 = 3,883.92 : x
  2. Step 2: Convert to fraction form
    9,147.57/13,725.98 = 3,883.92/x
  3. Step 3: Cross multiply
    9,147.57x = 13,725.98 × 3,883.92
  4. Step 4: Simplify right side
    9,147.57x = 53,310,588.82
  5. Step 5: Solve for x
    x = 53,310,588.82/9,147.57
  6. Step 6: Final answer
    x = 5,827.84

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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.