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Finding the Fourth Proportional to 6,460.26, 8,914.96 and 3,941.46

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Solution

The fourth proportional to 6,460.26, 8,914.96 and 3,941.46 is: 5,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.26 : 8,914.96 = 3,941.46 : x
  2. Step 2: Convert to fraction form
    6,460.26/8,914.96 = 3,941.46/x
  3. Step 3: Cross multiply
    6,460.26x = 8,914.96 × 3,941.46
  4. Step 4: Simplify right side
    6,460.26x = 35,137,963.17
  5. Step 5: Solve for x
    x = 35,137,963.17/6,460.26
  6. Step 6: Final answer
    x = 5,439.10

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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.