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Finding the Fourth Proportional to 6,276.84, 9,406.16 and 3,466.22

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Solution

The fourth proportional to 6,276.84, 9,406.16 and 3,466.22 is: 5,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.84 : 9,406.16 = 3,466.22 : x
  2. Step 2: Convert to fraction form
    6,276.84/9,406.16 = 3,466.22/x
  3. Step 3: Cross multiply
    6,276.84x = 9,406.16 × 3,466.22
  4. Step 4: Simplify right side
    6,276.84x = 32,603,819.92
  5. Step 5: Solve for x
    x = 32,603,819.92/6,276.84
  6. Step 6: Final answer
    x = 5,194.30

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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.