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Finding the Fourth Proportional to 9,796.05, 13,521.62 and 6,259.28

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Solution

The fourth proportional to 9,796.05, 13,521.62 and 6,259.28 is: 8,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.05 : 13,521.62 = 6,259.28 : x
  2. Step 2: Convert to fraction form
    9,796.05/13,521.62 = 6,259.28/x
  3. Step 3: Cross multiply
    9,796.05x = 13,521.62 × 6,259.28
  4. Step 4: Simplify right side
    9,796.05x = 84,635,553.67
  5. Step 5: Solve for x
    x = 84,635,553.67/9,796.05
  6. Step 6: Final answer
    x = 8,639.76

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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.