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Finding the Fourth Proportional to 9,896.36, 13,660.14 and 6,542.14

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Solution

The fourth proportional to 9,896.36, 13,660.14 and 6,542.14 is: 9,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.36 : 13,660.14 = 6,542.14 : x
  2. Step 2: Convert to fraction form
    9,896.36/13,660.14 = 6,542.14/x
  3. Step 3: Cross multiply
    9,896.36x = 13,660.14 × 6,542.14
  4. Step 4: Simplify right side
    9,896.36x = 89,366,548.30
  5. Step 5: Solve for x
    x = 89,366,548.30/9,896.36
  6. Step 6: Final answer
    x = 9,030.24

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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.