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Finding the Fourth Proportional to 9,188.68, 12,680.66 and 5,209.96

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Solution

The fourth proportional to 9,188.68, 12,680.66 and 5,209.96 is: 7,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.68 : 12,680.66 = 5,209.96 : x
  2. Step 2: Convert to fraction form
    9,188.68/12,680.66 = 5,209.96/x
  3. Step 3: Cross multiply
    9,188.68x = 12,680.66 × 5,209.96
  4. Step 4: Simplify right side
    9,188.68x = 66,065,641.92
  5. Step 5: Solve for x
    x = 66,065,641.92/9,188.68
  6. Step 6: Final answer
    x = 7,189.90

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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.