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Finding the Fourth Proportional to 6,541.02, 9,025.63 and 3,850.63

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Solution

The fourth proportional to 6,541.02, 9,025.63 and 3,850.63 is: 5,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.02 : 9,025.63 = 3,850.63 : x
  2. Step 2: Convert to fraction form
    6,541.02/9,025.63 = 3,850.63/x
  3. Step 3: Cross multiply
    6,541.02x = 9,025.63 × 3,850.63
  4. Step 4: Simplify right side
    6,541.02x = 34,754,361.65
  5. Step 5: Solve for x
    x = 34,754,361.65/6,541.02
  6. Step 6: Final answer
    x = 5,313.29

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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.