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Finding the Fourth Proportional to 9,188.09, 12,679.70 and 5,209.11

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Solution

The fourth proportional to 9,188.09, 12,679.70 and 5,209.11 is: 7,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.09 : 12,679.70 = 5,209.11 : x
  2. Step 2: Convert to fraction form
    9,188.09/12,679.70 = 5,209.11/x
  3. Step 3: Cross multiply
    9,188.09x = 12,679.70 × 5,209.11
  4. Step 4: Simplify right side
    9,188.09x = 66,049,952.07
  5. Step 5: Solve for x
    x = 66,049,952.07/9,188.09
  6. Step 6: Final answer
    x = 7,188.65

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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.