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Finding the Fourth Proportional to 9,809.26, 13,539.52 and 6,033.04

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Solution

The fourth proportional to 9,809.26, 13,539.52 and 6,033.04 is: 8,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.26 : 13,539.52 = 6,033.04 : x
  2. Step 2: Convert to fraction form
    9,809.26/13,539.52 = 6,033.04/x
  3. Step 3: Cross multiply
    9,809.26x = 13,539.52 × 6,033.04
  4. Step 4: Simplify right side
    9,809.26x = 81,684,439.43
  5. Step 5: Solve for x
    x = 81,684,439.43/9,809.26
  6. Step 6: Final answer
    x = 8,327.28

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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.