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Finding the Fourth Proportional to 9,807.97, 13,535.09 and 5,331.73

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Solution

The fourth proportional to 9,807.97, 13,535.09 and 5,331.73 is: 7,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.97 : 13,535.09 = 5,331.73 : x
  2. Step 2: Convert to fraction form
    9,807.97/13,535.09 = 5,331.73/x
  3. Step 3: Cross multiply
    9,807.97x = 13,535.09 × 5,331.73
  4. Step 4: Simplify right side
    9,807.97x = 72,165,384.91
  5. Step 5: Solve for x
    x = 72,165,384.91/9,807.97
  6. Step 6: Final answer
    x = 7,357.83

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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.