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Finding the Fourth Proportional to 7,003.29, 9,662.88 and 3,978.24

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Solution

The fourth proportional to 7,003.29, 9,662.88 and 3,978.24 is: 5,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.29 : 9,662.88 = 3,978.24 : x
  2. Step 2: Convert to fraction form
    7,003.29/9,662.88 = 3,978.24/x
  3. Step 3: Cross multiply
    7,003.29x = 9,662.88 × 3,978.24
  4. Step 4: Simplify right side
    7,003.29x = 38,441,255.73
  5. Step 5: Solve for x
    x = 38,441,255.73/7,003.29
  6. Step 6: Final answer
    x = 5,489.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.