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Finding the Fourth Proportional to 9,796.31, 13,521.26 and 5,606.99

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Solution

The fourth proportional to 9,796.31, 13,521.26 and 5,606.99 is: 7,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.31 : 13,521.26 = 5,606.99 : x
  2. Step 2: Convert to fraction form
    9,796.31/13,521.26 = 5,606.99/x
  3. Step 3: Cross multiply
    9,796.31x = 13,521.26 × 5,606.99
  4. Step 4: Simplify right side
    9,796.31x = 75,813,569.61
  5. Step 5: Solve for x
    x = 75,813,569.61/9,796.31
  6. Step 6: Final answer
    x = 7,738.99

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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.