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Finding the Fourth Proportional to 6,630.16, 9,941.98 and 3,857.80

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Solution

The fourth proportional to 6,630.16, 9,941.98 and 3,857.80 is: 5,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.16 : 9,941.98 = 3,857.80 : x
  2. Step 2: Convert to fraction form
    6,630.16/9,941.98 = 3,857.80/x
  3. Step 3: Cross multiply
    6,630.16x = 9,941.98 × 3,857.80
  4. Step 4: Simplify right side
    6,630.16x = 38,354,170.44
  5. Step 5: Solve for x
    x = 38,354,170.44/6,630.16
  6. Step 6: Final answer
    x = 5,784.80

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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.