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Finding the Fourth Proportional to 6,129.54, 9,173.25 and 3,788.64

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Solution

The fourth proportional to 6,129.54, 9,173.25 and 3,788.64 is: 5,669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.54 : 9,173.25 = 3,788.64 : x
  2. Step 2: Convert to fraction form
    6,129.54/9,173.25 = 3,788.64/x
  3. Step 3: Cross multiply
    6,129.54x = 9,173.25 × 3,788.64
  4. Step 4: Simplify right side
    6,129.54x = 34,754,141.88
  5. Step 5: Solve for x
    x = 34,754,141.88/6,129.54
  6. Step 6: Final answer
    x = 5,669.94

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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.