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Finding the Fourth Proportional to 9,896.07, 14,825.48 and 7,694.09

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Solution

The fourth proportional to 9,896.07, 14,825.48 and 7,694.09 is: 11,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.07 : 14,825.48 = 7,694.09 : x
  2. Step 2: Convert to fraction form
    9,896.07/14,825.48 = 7,694.09/x
  3. Step 3: Cross multiply
    9,896.07x = 14,825.48 × 7,694.09
  4. Step 4: Simplify right side
    9,896.07x = 114,068,464.82
  5. Step 5: Solve for x
    x = 114,068,464.82/9,896.07
  6. Step 6: Final answer
    x = 11,526.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.