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Finding the Fourth Proportional to 6,630.84, 9,946.26 and 3,709.16

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Solution

The fourth proportional to 6,630.84, 9,946.26 and 3,709.16 is: 5,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.84 : 9,946.26 = 3,709.16 : x
  2. Step 2: Convert to fraction form
    6,630.84/9,946.26 = 3,709.16/x
  3. Step 3: Cross multiply
    6,630.84x = 9,946.26 × 3,709.16
  4. Step 4: Simplify right side
    6,630.84x = 36,892,220.01
  5. Step 5: Solve for x
    x = 36,892,220.01/6,630.84
  6. Step 6: Final answer
    x = 5,563.73

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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.