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Finding the Fourth Proportional to 6,416.55, 9,625.77 and 3,456.54

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Solution

The fourth proportional to 6,416.55, 9,625.77 and 3,456.54 is: 5,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.55 : 9,625.77 = 3,456.54 : x
  2. Step 2: Convert to fraction form
    6,416.55/9,625.77 = 3,456.54/x
  3. Step 3: Cross multiply
    6,416.55x = 9,625.77 × 3,456.54
  4. Step 4: Simplify right side
    6,416.55x = 33,271,859.04
  5. Step 5: Solve for x
    x = 33,271,859.04/6,416.55
  6. Step 6: Final answer
    x = 5,185.32

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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.