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Finding the Fourth Proportional to 9,409.37, 12,982.33 and 5,822.60

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Solution

The fourth proportional to 9,409.37, 12,982.33 and 5,822.60 is: 8,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.37 : 12,982.33 = 5,822.60 : x
  2. Step 2: Convert to fraction form
    9,409.37/12,982.33 = 5,822.60/x
  3. Step 3: Cross multiply
    9,409.37x = 12,982.33 × 5,822.60
  4. Step 4: Simplify right side
    9,409.37x = 75,590,914.66
  5. Step 5: Solve for x
    x = 75,590,914.66/9,409.37
  6. Step 6: Final answer
    x = 8,033.58

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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.