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Finding the Fourth Proportional to 6,541.97, 9,862.26 and 6,119.15

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Solution

The fourth proportional to 6,541.97, 9,862.26 and 6,119.15 is: 9,224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.97 : 9,862.26 = 6,119.15 : x
  2. Step 2: Convert to fraction form
    6,541.97/9,862.26 = 6,119.15/x
  3. Step 3: Cross multiply
    6,541.97x = 9,862.26 × 6,119.15
  4. Step 4: Simplify right side
    6,541.97x = 60,348,576.02
  5. Step 5: Solve for x
    x = 60,348,576.02/6,541.97
  6. Step 6: Final answer
    x = 9,224.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.