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Finding the Fourth Proportional to 6,215.96, 9,320.74 and 1,832.85

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Solution

The fourth proportional to 6,215.96, 9,320.74 and 1,832.85 is: 2,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.96 : 9,320.74 = 1,832.85 : x
  2. Step 2: Convert to fraction form
    6,215.96/9,320.74 = 1,832.85/x
  3. Step 3: Cross multiply
    6,215.96x = 9,320.74 × 1,832.85
  4. Step 4: Simplify right side
    6,215.96x = 17,083,513.73
  5. Step 5: Solve for x
    x = 17,083,513.73/6,215.96
  6. Step 6: Final answer
    x = 2,748.33

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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.