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Finding the Fourth Proportional to 8,993.82, 13,485.91 and 3,446

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Solution

The fourth proportional to 8,993.82, 13,485.91 and 3,446 is: 5,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.82 : 13,485.91 = 3,446 : x
  2. Step 2: Convert to fraction form
    8,993.82/13,485.91 = 3,446/x
  3. Step 3: Cross multiply
    8,993.82x = 13,485.91 × 3,446
  4. Step 4: Simplify right side
    8,993.82x = 46,472,445.86
  5. Step 5: Solve for x
    x = 46,472,445.86/8,993.82
  6. Step 6: Final answer
    x = 5,167.15

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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.