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Finding the Fourth Proportional to 9,896.73, 13,658.67 and 6,122.40

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Solution

The fourth proportional to 9,896.73, 13,658.67 and 6,122.40 is: 8,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.73 : 13,658.67 = 6,122.40 : x
  2. Step 2: Convert to fraction form
    9,896.73/13,658.67 = 6,122.40/x
  3. Step 3: Cross multiply
    9,896.73x = 13,658.67 × 6,122.40
  4. Step 4: Simplify right side
    9,896.73x = 83,623,841.21
  5. Step 5: Solve for x
    x = 83,623,841.21/9,896.73
  6. Step 6: Final answer
    x = 8,449.64

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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.