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Finding the Fourth Proportional to 9,168.38, 12,651.60 and 5,188.58

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Solution

The fourth proportional to 9,168.38, 12,651.60 and 5,188.58 is: 7,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.38 : 12,651.60 = 5,188.58 : x
  2. Step 2: Convert to fraction form
    9,168.38/12,651.60 = 5,188.58/x
  3. Step 3: Cross multiply
    9,168.38x = 12,651.60 × 5,188.58
  4. Step 4: Simplify right side
    9,168.38x = 65,643,838.73
  5. Step 5: Solve for x
    x = 65,643,838.73/9,168.38
  6. Step 6: Final answer
    x = 7,159.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.