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Finding the Fourth Proportional to 9,647.25, 13,324.14 and 6,497.97

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Solution

The fourth proportional to 9,647.25, 13,324.14 and 6,497.97 is: 8,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.25 : 13,324.14 = 6,497.97 : x
  2. Step 2: Convert to fraction form
    9,647.25/13,324.14 = 6,497.97/x
  3. Step 3: Cross multiply
    9,647.25x = 13,324.14 × 6,497.97
  4. Step 4: Simplify right side
    9,647.25x = 86,579,862.00
  5. Step 5: Solve for x
    x = 86,579,862.00/9,647.25
  6. Step 6: Final answer
    x = 8,974.56

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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.