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Finding the Fourth Proportional to 6,736.74, 9,289.53 and 3,941.70

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Solution

The fourth proportional to 6,736.74, 9,289.53 and 3,941.70 is: 5,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.74 : 9,289.53 = 3,941.70 : x
  2. Step 2: Convert to fraction form
    6,736.74/9,289.53 = 3,941.70/x
  3. Step 3: Cross multiply
    6,736.74x = 9,289.53 × 3,941.70
  4. Step 4: Simplify right side
    6,736.74x = 36,616,540.40
  5. Step 5: Solve for x
    x = 36,616,540.40/6,736.74
  6. Step 6: Final answer
    x = 5,435.35

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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.