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Finding the Fourth Proportional to 9,189.33, 12,680.44 and 6,209.16

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Solution

The fourth proportional to 9,189.33, 12,680.44 and 6,209.16 is: 8,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.33 : 12,680.44 = 6,209.16 : x
  2. Step 2: Convert to fraction form
    9,189.33/12,680.44 = 6,209.16/x
  3. Step 3: Cross multiply
    9,189.33x = 12,680.44 × 6,209.16
  4. Step 4: Simplify right side
    9,189.33x = 78,734,880.83
  5. Step 5: Solve for x
    x = 78,734,880.83/9,189.33
  6. Step 6: Final answer
    x = 8,568.08

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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.