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Finding the Fourth Proportional to 9,189.59, 12,683.25 and 5,209.92

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Solution

The fourth proportional to 9,189.59, 12,683.25 and 5,209.92 is: 7,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.59 : 12,683.25 = 5,209.92 : x
  2. Step 2: Convert to fraction form
    9,189.59/12,683.25 = 5,209.92/x
  3. Step 3: Cross multiply
    9,189.59x = 12,683.25 × 5,209.92
  4. Step 4: Simplify right side
    9,189.59x = 66,078,717.84
  5. Step 5: Solve for x
    x = 66,078,717.84/9,189.59
  6. Step 6: Final answer
    x = 7,190.61

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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.