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Finding the Fourth Proportional to 6,449.75, 9,677.35 and 3,524.64

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Solution

The fourth proportional to 6,449.75, 9,677.35 and 3,524.64 is: 5,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.75 : 9,677.35 = 3,524.64 : x
  2. Step 2: Convert to fraction form
    6,449.75/9,677.35 = 3,524.64/x
  3. Step 3: Cross multiply
    6,449.75x = 9,677.35 × 3,524.64
  4. Step 4: Simplify right side
    6,449.75x = 34,109,174.90
  5. Step 5: Solve for x
    x = 34,109,174.90/6,449.75
  6. Step 6: Final answer
    x = 5,288.45

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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.