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Finding the Fourth Proportional to 9,168.59, 12,652.67 and 5,189.67

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Solution

The fourth proportional to 9,168.59, 12,652.67 and 5,189.67 is: 7,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.59 : 12,652.67 = 5,189.67 : x
  2. Step 2: Convert to fraction form
    9,168.59/12,652.67 = 5,189.67/x
  3. Step 3: Cross multiply
    9,168.59x = 12,652.67 × 5,189.67
  4. Step 4: Simplify right side
    9,168.59x = 65,663,194.89
  5. Step 5: Solve for x
    x = 65,663,194.89/9,168.59
  6. Step 6: Final answer
    x = 7,161.75

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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.