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Finding the Fourth Proportional to 9,188.34, 12,679.53 and 5,209.37

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Solution

The fourth proportional to 9,188.34, 12,679.53 and 5,209.37 is: 7,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.34 : 12,679.53 = 5,209.37 : x
  2. Step 2: Convert to fraction form
    9,188.34/12,679.53 = 5,209.37/x
  3. Step 3: Cross multiply
    9,188.34x = 12,679.53 × 5,209.37
  4. Step 4: Simplify right side
    9,188.34x = 66,052,327.81
  5. Step 5: Solve for x
    x = 66,052,327.81/9,188.34
  6. Step 6: Final answer
    x = 7,188.71

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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.