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Finding the Fourth Proportional to 9,188.20, 12,682.04 and 5,211.68

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Solution

The fourth proportional to 9,188.20, 12,682.04 and 5,211.68 is: 7,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.20 : 12,682.04 = 5,211.68 : x
  2. Step 2: Convert to fraction form
    9,188.20/12,682.04 = 5,211.68/x
  3. Step 3: Cross multiply
    9,188.20x = 12,682.04 × 5,211.68
  4. Step 4: Simplify right side
    9,188.20x = 66,094,734.23
  5. Step 5: Solve for x
    x = 66,094,734.23/9,188.20
  6. Step 6: Final answer
    x = 7,193.44

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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.