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Finding the Fourth Proportional to 6,414.37, 9,602.85 and 3,941.66

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Solution

The fourth proportional to 6,414.37, 9,602.85 and 3,941.66 is: 5,901.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.37 : 9,602.85 = 3,941.66 : x
  2. Step 2: Convert to fraction form
    6,414.37/9,602.85 = 3,941.66/x
  3. Step 3: Cross multiply
    6,414.37x = 9,602.85 × 3,941.66
  4. Step 4: Simplify right side
    6,414.37x = 37,851,169.73
  5. Step 5: Solve for x
    x = 37,851,169.73/6,414.37
  6. Step 6: Final answer
    x = 5,901.00

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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.