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Finding the Fourth Proportional to 6,451.90, 9,671.37 and 3,524.14

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Solution

The fourth proportional to 6,451.90, 9,671.37 and 3,524.14 is: 5,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.90 : 9,671.37 = 3,524.14 : x
  2. Step 2: Convert to fraction form
    6,451.90/9,671.37 = 3,524.14/x
  3. Step 3: Cross multiply
    6,451.90x = 9,671.37 × 3,524.14
  4. Step 4: Simplify right side
    6,451.90x = 34,083,261.87
  5. Step 5: Solve for x
    x = 34,083,261.87/6,451.90
  6. Step 6: Final answer
    x = 5,282.67

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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.