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Finding the Fourth Proportional to 6,735.66, 9,295.21 and 3,941.16

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Solution

The fourth proportional to 6,735.66, 9,295.21 and 3,941.16 is: 5,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.66 : 9,295.21 = 3,941.16 : x
  2. Step 2: Convert to fraction form
    6,735.66/9,295.21 = 3,941.16/x
  3. Step 3: Cross multiply
    6,735.66x = 9,295.21 × 3,941.16
  4. Step 4: Simplify right side
    6,735.66x = 36,633,857.74
  5. Step 5: Solve for x
    x = 36,633,857.74/6,735.66
  6. Step 6: Final answer
    x = 5,438.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.