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Finding the Fourth Proportional to 6,187.38, 9,281.33 and 1,805.21

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Solution

The fourth proportional to 6,187.38, 9,281.33 and 1,805.21 is: 2,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.38 : 9,281.33 = 1,805.21 : x
  2. Step 2: Convert to fraction form
    6,187.38/9,281.33 = 1,805.21/x
  3. Step 3: Cross multiply
    6,187.38x = 9,281.33 × 1,805.21
  4. Step 4: Simplify right side
    6,187.38x = 16,754,749.73
  5. Step 5: Solve for x
    x = 16,754,749.73/6,187.38
  6. Step 6: Final answer
    x = 2,707.89

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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.