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Finding the Fourth Proportional to 6,419.88, 9,609.65 and 4,082.52

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Solution

The fourth proportional to 6,419.88, 9,609.65 and 4,082.52 is: 6,110.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.88 : 9,609.65 = 4,082.52 : x
  2. Step 2: Convert to fraction form
    6,419.88/9,609.65 = 4,082.52/x
  3. Step 3: Cross multiply
    6,419.88x = 9,609.65 × 4,082.52
  4. Step 4: Simplify right side
    6,419.88x = 39,231,588.32
  5. Step 5: Solve for x
    x = 39,231,588.32/6,419.88
  6. Step 6: Final answer
    x = 6,110.95

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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.