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Finding the Fourth Proportional to 6,862.31, 9,466.49 and 4,340.17

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Solution

The fourth proportional to 6,862.31, 9,466.49 and 4,340.17 is: 5,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.31 : 9,466.49 = 4,340.17 : x
  2. Step 2: Convert to fraction form
    6,862.31/9,466.49 = 4,340.17/x
  3. Step 3: Cross multiply
    6,862.31x = 9,466.49 × 4,340.17
  4. Step 4: Simplify right side
    6,862.31x = 41,086,163.09
  5. Step 5: Solve for x
    x = 41,086,163.09/6,862.31
  6. Step 6: Final answer
    x = 5,987.22

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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.