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Finding the Fourth Proportional to 6,509.38, 9,765.09 and 2,125.82

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Solution

The fourth proportional to 6,509.38, 9,765.09 and 2,125.82 is: 3,189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.38 : 9,765.09 = 2,125.82 : x
  2. Step 2: Convert to fraction form
    6,509.38/9,765.09 = 2,125.82/x
  3. Step 3: Cross multiply
    6,509.38x = 9,765.09 × 2,125.82
  4. Step 4: Simplify right side
    6,509.38x = 20,758,823.62
  5. Step 5: Solve for x
    x = 20,758,823.62/6,509.38
  6. Step 6: Final answer
    x = 3,189.06

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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.