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Finding the Fourth Proportional to 9,057.21, 13,587.86 and 3,213.82

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Solution

The fourth proportional to 9,057.21, 13,587.86 and 3,213.82 is: 4,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.21 : 13,587.86 = 3,213.82 : x
  2. Step 2: Convert to fraction form
    9,057.21/13,587.86 = 3,213.82/x
  3. Step 3: Cross multiply
    9,057.21x = 13,587.86 × 3,213.82
  4. Step 4: Simplify right side
    9,057.21x = 43,668,936.23
  5. Step 5: Solve for x
    x = 43,668,936.23/9,057.21
  6. Step 6: Final answer
    x = 4,821.46

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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.