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Finding the Fourth Proportional to 6,941.10, 9,578.07 and 3,957.60

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Solution

The fourth proportional to 6,941.10, 9,578.07 and 3,957.60 is: 5,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.10 : 9,578.07 = 3,957.60 : x
  2. Step 2: Convert to fraction form
    6,941.10/9,578.07 = 3,957.60/x
  3. Step 3: Cross multiply
    6,941.10x = 9,578.07 × 3,957.60
  4. Step 4: Simplify right side
    6,941.10x = 37,906,169.83
  5. Step 5: Solve for x
    x = 37,906,169.83/6,941.10
  6. Step 6: Final answer
    x = 5,461.12

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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.