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Finding the Fourth Proportional to 9,168.39, 12,658.68 and 6,188.40

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Solution

The fourth proportional to 9,168.39, 12,658.68 and 6,188.40 is: 8,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.39 : 12,658.68 = 6,188.40 : x
  2. Step 2: Convert to fraction form
    9,168.39/12,658.68 = 6,188.40/x
  3. Step 3: Cross multiply
    9,168.39x = 12,658.68 × 6,188.40
  4. Step 4: Simplify right side
    9,168.39x = 78,336,975.31
  5. Step 5: Solve for x
    x = 78,336,975.31/9,168.39
  6. Step 6: Final answer
    x = 8,544.25

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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.