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Finding the Fourth Proportional to 9,187.62, 12,680.67 and 5,208.75

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Solution

The fourth proportional to 9,187.62, 12,680.67 and 5,208.75 is: 7,189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.62 : 12,680.67 = 5,208.75 : x
  2. Step 2: Convert to fraction form
    9,187.62/12,680.67 = 5,208.75/x
  3. Step 3: Cross multiply
    9,187.62x = 12,680.67 × 5,208.75
  4. Step 4: Simplify right side
    9,187.62x = 66,050,411.84
  5. Step 5: Solve for x
    x = 66,050,411.84/9,187.62
  6. Step 6: Final answer
    x = 7,189.07

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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.