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Finding the Fourth Proportional to 6,825.36, 9,416.96 and 4,170

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Solution

The fourth proportional to 6,825.36, 9,416.96 and 4,170 is: 5,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.36 : 9,416.96 = 4,170 : x
  2. Step 2: Convert to fraction form
    6,825.36/9,416.96 = 4,170/x
  3. Step 3: Cross multiply
    6,825.36x = 9,416.96 × 4,170
  4. Step 4: Simplify right side
    6,825.36x = 39,268,723.20
  5. Step 5: Solve for x
    x = 39,268,723.20/6,825.36
  6. Step 6: Final answer
    x = 5,753.36

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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.