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Finding the Fourth Proportional to 9,188.46, 12,680.01 and 5,209.47

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Solution

The fourth proportional to 9,188.46, 12,680.01 and 5,209.47 is: 7,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.46 : 12,680.01 = 5,209.47 : x
  2. Step 2: Convert to fraction form
    9,188.46/12,680.01 = 5,209.47/x
  3. Step 3: Cross multiply
    9,188.46x = 12,680.01 × 5,209.47
  4. Step 4: Simplify right side
    9,188.46x = 66,056,131.69
  5. Step 5: Solve for x
    x = 66,056,131.69/9,188.46
  6. Step 6: Final answer
    x = 7,189.03

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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.