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Finding the Fourth Proportional to 9,137.50, 13,728.12 and 5,857

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Solution

The fourth proportional to 9,137.50, 13,728.12 and 5,857 is: 8,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.50 : 13,728.12 = 5,857 : x
  2. Step 2: Convert to fraction form
    9,137.50/13,728.12 = 5,857/x
  3. Step 3: Cross multiply
    9,137.50x = 13,728.12 × 5,857
  4. Step 4: Simplify right side
    9,137.50x = 80,405,598.84
  5. Step 5: Solve for x
    x = 80,405,598.84/9,137.50
  6. Step 6: Final answer
    x = 8,799.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.